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   "cell_type": "markdown",
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   "source": [
    "# Installation of Pytorch\n",
    "Pytorch binary can be installed by pip, or complied following instructions in https://github.com/pytorch/pytorch#from-source.\n",
    "\n",
    "Here we will use pip."
   ]
  },
  {
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   "source": [
    "try:\n",
    "    import torch\n",
    "except:\n",
    "    !pip install http://download.pytorch.org/whl/cu80/torch-0.4.0.post4-cp36-cp36m-linux_x86_64.whl\n",
    "    import torch"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "12qTRX3kk12I"
   },
   "source": [
    "# Introducing Pytorch\n",
    "Pytoch is composed of three parts: Tensors, Autograd and Module.\n",
    "\n",
    "For more detailed tutorial, refer to http://pytorch.org/tutorials/beginner/deep_learning_60min_blitz.html."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "zZs_ktmM5oSP"
   },
   "source": [
    "## Tensors\n",
    "They are like numpy arrays, you can do basic operations on them, like:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     }
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "sbX3l1hHlR0h"
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   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "\n",
    "a = torch.tensor([1,2,3], dtype = torch.float32)\n",
    "b = torch.tensor([3,4,5]).to(torch.float32) # you can clarify tensors' dtype at definition or use to method to convert. \n",
    "\n",
    "c = a+b # add.\n",
    "\n",
    "a = torch.ones(4,4)\n",
    "b = torch.ones(4)\n",
    "\n",
    "c = torch.mv(a,b) # matrix multiply vector.\n",
    "\n",
    "a = torch.randn(4,4)\n",
    "b = torch.randn(4,3)\n",
    "\n",
    "c = torch.mm(a,b) # matrix multiply matrix.\n",
    "\n",
    "# indexing Tensor is the same as indexing numpy array.\n",
    "\n",
    "c[:,0]\n",
    "\n",
    "a_np = a.numpy() # convert tensor to numpy array.\n",
    "\n",
    "d = torch.from_numpy(a_np) # convert numpy array to tensor."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Autograd\n",
    "Also, after pytorch 0.4, tensors can be used as a node in computation graph(or called Variable in 0.3 and before). They can be used to calculate gradients, like:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(27.)\n",
      "<MeanBackward1 object at 0x105b3c0b8>\n",
      "tensor([[ 4.5000,  4.5000],\n",
      "        [ 4.5000,  4.5000]])\n",
      "tensor([[ 1.,  1.],\n",
      "        [ 1.,  1.]])\n",
      "27.0\n"
     ]
    }
   ],
   "source": [
    "x = torch.ones(2, 2, requires_grad=True)\n",
    "y = x + 2\n",
    "z = y * y * 3\n",
    "out = z.mean()\n",
    "print(out) # the result of above computation.\n",
    "print(out.grad_fn) # print the former point of out in computation graph.\n",
    "out.backward() # do backward of this computation graph.\n",
    "print(x.grad) # the gradient of original X.\n",
    "\n",
    "print(x.detach()) # detach() gives a copy of tensor called on and this copy doesn't need gradients.\n",
    "print(out.detach().numpy()) # note that after used in computation graph you have to detach to call numpy()."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "DFPrSt2LreJs"
   },
   "source": [
    "## Module\n",
    "To define a neural network, we need Module. Module is the base class for all neural network modules.\n",
    "\n",
    "The following code define a neural network same as the neural network wrote using numpy in BP tutorial"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
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      "startup": false,
      "wait_interval": 0
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     "height": 85,
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     "text": [
      "Net(\n",
      "  (fc): Linear(in_features=784, out_features=10, bias=True)\n",
      "  (softmax): Softmax()\n",
      ")\n"
     ]
    }
   ],
   "source": [
    "import torch.nn as nn\n",
    "\n",
    "class Net(nn.Module):\n",
    "\n",
    "    def __init__(self):\n",
    "        super(Net, self).__init__()\n",
    "        self.fc = nn.Linear(784, 10)\n",
    "        self.softmax = nn.Softmax()\n",
    "\n",
    "    def forward(self, x):\n",
    "        x = self.fc(x)\n",
    "        x = self.softmax(x)\n",
    "        return x\n",
    "\n",
    "net = Net()\n",
    "print(net)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "Dn5BrKmjjIVN"
   },
   "source": [
    "Neural Networks can also be defined by ModuleList. ModuleList is a list-like class holds submodules in a list.\n",
    "\n",
    "And for a large neural network, you may want to compress it into a single Module class, so you can just call .forward() instead of calling each layer's .forward() one by one. In that situation, we can use nn.Sequential.\n",
    "\n",
    "(For difference between nn.Sequential and nn.ModuleList, see https://discuss.pytorch.org/t/when-should-i-use-nn-modulelist-and-when-should-i-use-nn-sequential/5463)\n",
    "\n",
    "For more detailed APIs, refer to http://pytorch.org/docs/master/nn.html?highlight=modulelist#torch.nn.ModuleList and http://pytorch.org/docs/master/nn.html?highlight=sequential#torch.nn.Sequential\n",
    "\n",
    "The example following defines the same network as above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {
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     "height": 153,
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    },
    "colab_type": "code",
    "executionInfo": {
     "elapsed": 2831,
     "status": "ok",
     "timestamp": 1519172980896,
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Net(\n",
      "  (nn_list): ModuleList(\n",
      "    (0): Sequential(\n",
      "      (0): Linear(in_features=784, out_features=10, bias=True)\n",
      "      (1): Softmax()\n",
      "    )\n",
      "  )\n",
      ")\n"
     ]
    }
   ],
   "source": [
    "class Net(nn.Module):\n",
    "  \n",
    "    def __init__(self):\n",
    "        super(Net, self).__init__()\n",
    "        self.nn_list = nn.ModuleList()\n",
    "        self.nn_list.append(torch.nn.Sequential(\n",
    "          nn.Linear(784, 10),nn.Softmax())) # create a list of Module instants which has only one forward and backward to call.\n",
    "\n",
    "    def forward(self, x):\n",
    "      x = self.nn_list[0](x) # [0] here index the fist (and also the only) Module instant.\n",
    "      return x\n",
    "    \n",
    "net = Net()\n",
    "print(net)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "3YN8Zr515x5s"
   },
   "source": [
    "# NICE Network\n",
    "\n",
    "Arxiv link: https://arxiv.org/abs/1410.8516\n",
    "\n",
    "We are going to do unsupervised learning on a denisty estimation problem. So our training data has no labels, and we are going to fit samples' probability distribution.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "KC14Qug6t6yT"
   },
   "source": [
    "## Loading data\n",
    "First, let's load training data.\n",
    "\n",
    "The loaded data is sampled from a 2d ring. We are going to use NICE network to fit this distribution, so that when we feed NICE with gaussian samples it will output samples in this 2d ring."
   ]
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     "output_type": "stream",
     "text": [
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AWS/ECyUP7ehja1+e54cnqfoxD97Wy7pCGrzcsb5APYzJ2CalnE0jSHAsg76i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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1058396a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.mlab import griddata\n",
    "\n",
    "!wget https://pastebin.com/raw/JWgv53pd -O train.dat # download training data using wget.\n",
    "  \n",
    "xy = np.loadtxt('./train.dat', dtype=np.float32) # load data file.\n",
    "x_data = torch.from_numpy(xy).to(torch.float32)\n",
    "\n",
    "plt.figure() # plot training date.\n",
    "plt.scatter(xy[:,0], xy[:,1], alpha=0.5, label='Ring2D')\n",
    "plt.legend()\n",
    "\n",
    "plt.xlim([-5, 5]) # limit x and y axes between [-5,5] for better viewing.\n",
    "plt.ylim([-5, 5])\n",
    "\n",
    "plt.xlabel('$x_1$') # label axes\n",
    "plt.ylabel('$x_2$')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "B_Kws2iiuUzN"
   },
   "source": [
    "## Define a NICE Network\n",
    "At each layer, input $y$ is divided into $y_0$ and $y_1$. And the transformation is as below:\n",
    "\n",
    "\n",
    "\\begin{equation}\n",
    "\\left\\{\n",
    "\\begin{array}\\\\\n",
    "y_0' = y_0+t(y_1) \\\\\n",
    "y_1' = y_1\n",
    "\\end{array}\n",
    "\\right.\n",
    "\\end{equation}\n",
    "\n",
    "Then, at each layer, the role of $y_0$ and $y_1$ is switched, so that every elements in input $y$ is altered.\n",
    "This transformation has a lower triangle matrix Jacobian, with its $\\ln(determinant)$ equals 0.\n",
    "\\begin{equation}\n",
    "\\ln\n",
    "\\left|\n",
    "\\begin{array}\\\\\n",
    "1&0\\\\\n",
    "\\frac{\\partial{t}}{\\partial{y_1}}&1\n",
    "\\end{array}\n",
    "\\right|\n",
    "= 0\n",
    "\\end{equation}\n",
    "This ensure at each layer,\n",
    "\\begin{equation}\n",
    "\\ln p(\\boldsymbol{y'}) =  \\ln p (\\boldsymbol{y})\n",
    "\\end{equation}\n",
    "Then, we can project $\\boldsymbol{y}$ into $\\boldsymbol{z}$ in latent space, and \n",
    "\\begin{equation}\n",
    "\\ln p(\\boldsymbol{y}) =  \\ln p (\\boldsymbol{z})\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     }
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "-bwWXBCtMFeq"
   },
   "outputs": [],
   "source": [
    "class NICE(torch.nn.Module):\n",
    "    '''\n",
    "    A Pytorch implement of NICE Network.\n",
    "    \n",
    "    Args:\n",
    "        num_vars(int): length of inputs.\n",
    "        num_layers(int): number of NICE layers.\n",
    "        hidden_t(int): number of hidden units of in each t layer.\n",
    "       \n",
    "    Attributes:\n",
    "        num_vars(int): length of inputs.\n",
    "        num_layers(int): number of NICE layers.\n",
    "        translation(nn.ModuleList): list of translation layers.\n",
    "    '''\n",
    "    def __init__(self, num_vars, num_layers=2,hidden_t=10):\n",
    "        super(NICE, self).__init__()\n",
    "        self.num_vars = num_vars\n",
    "        self.num_layers = num_layers\n",
    "\n",
    "        self.translation = torch.nn.ModuleList()\n",
    "        for i in range(self.num_layers):\n",
    "            self.translation.append(\n",
    "                 torch.nn.Sequential(\n",
    "                 torch.nn.Linear(num_vars//2, hidden_t),\n",
    "                 torch.nn.ReLU(),\n",
    "                 torch.nn.Linear(hidden_t, num_vars//2)\n",
    "                 ))\n",
    "\n",
    "    def forward(self, z):\n",
    "        '''\n",
    "        Generate target distribution from z sampled from gaussian distribution.\n",
    "        '''\n",
    "        y0 = z[:,:self.num_vars//2]\n",
    "        y1 = z[:,self.num_vars//2:]\n",
    "        for i in range(self.num_layers):\n",
    "            if (i%2==0):\n",
    "                y1 = y1 + self.translation[i](y0)\n",
    "            else:\n",
    "                y0 = y0 +  self.translation[i](y1)\n",
    "        return torch.cat((y0, y1), 1)\n",
    "\n",
    "    def inverse(self, x):\n",
    "        '''\n",
    "        Inference gaussian distribution from x sampled from target distribution.\n",
    "        '''\n",
    "        y0 = x[:,:self.num_vars//2]\n",
    "        y1 = x[:,self.num_vars//2:]\n",
    "        for i in reversed(range(self.num_layers)):\n",
    "            if (i%2==1):\n",
    "                y0 = y0 - self.translation[i](y1)\n",
    "            else:\n",
    "                y1 = y1 - self.translation[i](y0)\n",
    "        return torch.cat((y0, y1), 1)\n",
    "\n",
    "    def logp(self, x):\n",
    "        '''\n",
    "        Calculate x's log(probability).\n",
    "        '''\n",
    "        z = self.inverse(x)\n",
    "        return -0.5*(z**2).sum(dim=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "deUGQlXuue48"
   },
   "source": [
    "## Bijective Check\n",
    "\n",
    "Because NICE network can generate samples of a target distribution from simple distribution, and also can inference simple distribution from target ditribution. So after implementing  NICE, we should check it's reversibility."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     }
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "xAZEpClLNh-o"
   },
   "outputs": [],
   "source": [
    "num_vars = 4 \n",
    "model = NICE(num_vars) \n",
    "z = torch.randn(1000,num_vars)\n",
    "\n",
    "x = model.forward(z) # generate a new dataset.\n",
    "z_infer = model.inverse(x) # inference back to the original dataset.\n",
    "\n",
    "from numpy.testing import assert_array_almost_equal\n",
    "assert_array_almost_equal(z_infer.detach().numpy(),z.detach().numpy()) # test if they are the same."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "N_Xw1t05Pklo"
   },
   "source": [
    "## Training Network"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "T3EPDKOJu7qe"
   },
   "source": [
    "Next, we are going to fit a 2d ring using a gaussian distribution.\n",
    "\n",
    "OK, let's define a NICE instance and an optimizer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     }
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "xDUe40aiNo2Z"
   },
   "outputs": [],
   "source": [
    "torch.manual_seed(42)\n",
    "\n",
    "num_epochs = 800 # define parameters of NICE network.\n",
    "num_layers = 4\n",
    "hidden_t = 10\n",
    "num_samples = 2000\n",
    "num_vars = x_data.shape[-1]\n",
    "\n",
    "model = NICE(num_vars, num_layers,hidden_t) # define NICE instance and optimizer.\n",
    "optimizer = torch.optim.Adam(model.parameters(), lr=0.01, weight_decay=0.001)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "PRe28akmvL6t"
   },
   "source": [
    "Start training."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     },
     "base_uri": "https://localhost:8080/",
     "height": 2441,
     "output_extras": [
      {
       "item_id": 13
      },
      {
       "item_id": 14
      },
      {
       "item_id": 15
      },
      {
       "item_id": 16
      },
      {
       "item_id": 17
      },
      {
       "item_id": 18
      },
      {
       "item_id": 19
      }
     ]
    },
    "colab_type": "code",
    "executionInfo": {
     "elapsed": 72305,
     "status": "ok",
     "timestamp": 1519173069360,
     "user": {
      "displayName": "li li",
      "photoUrl": "//lh5.googleusercontent.com/-EpOiByGU5dA/AAAAAAAAAAI/AAAAAAAAACc/ZQHNZAF7xMQ/s50-c-k-no/photo.jpg",
      "userId": "118127190614979245201"
     },
     "user_tz": -60
    },
    "id": "NXcQ-zcWNr1b",
    "outputId": "e753941e-5c7c-4149-b8dd-a0010aa136a1"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch: 0 loss: 2.697908639907837\n",
      "epoch: 50 loss: 2.2369253635406494\n",
      "epoch: 100 loss: 2.2355129718780518\n",
      "epoch: 150 loss: 2.233820676803589\n",
      "epoch: 200 loss: 2.231335163116455\n",
      "epoch: 250 loss: 2.2262136936187744\n",
      "epoch: 300 loss: 2.176424026489258\n",
      "epoch: 350 loss: 1.855877161026001\n",
      "epoch: 400 loss: 1.622395396232605\n",
      "epoch: 450 loss: 1.572138786315918\n",
      "epoch: 500 loss: 1.543807864189148\n",
      "epoch: 550 loss: 1.5362129211425781\n",
      "epoch: 600 loss: 1.5328055620193481\n",
      "epoch: 650 loss: 1.529990553855896\n",
      "epoch: 700 loss: 1.5266984701156616\n",
      "epoch: 750 loss: 1.5230621099472046\n",
      "epoch: 800 loss: 1.5171267986297607\n"
     ]
    },
    {
     "data": {
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cpSi86Zw6Nu5sZ/sBXZJApBBU7lIULp1+BgBLNuqCciKFoHKXojC9vpJx1Ul+r3IXKQiV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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cf22898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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f3s/wn/6jLwA0Ewx/47O7bljfNR89Whg0tyzrRWExnGZx9SzbR5/oyFT2gjJFVhDCIJMZ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\nZ2GehHTo3/bZcAXhB2nPUpb5K0fu9C1bQQfcTmAoKKVySql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YWmuqSynF7JnXyYxsZ922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+AWhh4VWSaZHKGTx6C1Zsu/RzI93pNCurXxAbHHvh4NRwkCEqVtkrVoh12ozmNYDvFcN4+ic1dZ\nqW5h5CcQho1UPqZyQevImHvdbGmAQmUdY/R02xiCJBBxpHbRwoqMd5t9q5tkN4iFKwC4cpBQGdTv\nvIc9fgwzPURvPaB5Ll6zvNtAE28e0VmLaE15qxOSYqcGsVdbaisC8IBkxzVan2u0UmivhL96Ff/e\nBRIP/zKlD17BSA+TevgrCEwgwAy3kcJACStqJRWwm1ugAo/a8jxWOkfh8tvYM6cxh88gElmkDrH9\nArGgm3jYYiFLFI16lcr8Nayhadyla5jJHImjTyO0xggD0pW19hAlrRXl1TtYsRSFe5fJjB8jG++u\nWQH4boW122+RyE+inRR64iFsK9FONzaqmzir9/C3FhhJHsG2o26nvkPo4+PwqWtXFUL8GvCbWuvf\n/aRj78cxvGR9k7tnctiDB3CacwR8VSUQioQ9wPCl2+1jfdWgEdMk7cGuOoHSIVc3X+Ho9Es9PIZr\nK99leuoZHKc75XR37Q0Gx04RT3QXtJfYpiRCUoef6OArCNJb6yQqRe5e+yumzv9ST52iVXTGrbF2\n8a/JPfu7UWcpCjN0QUgcbzuKFnZh7r3vMfhca5ccIRrfaSO1SyiSHRtx3a45mKpOXK1TN4YJRYzQ\nDyi/+xckT38JVS9jDkw2JSNaCIh27j40I4eo0NxdpDaoQDOxJJCExOkmt+10NkmqSBES6DQ6jBxB\n/fZ7+BtzpE5/kcqH3yE5e4JkJoFtmzTMUUIZb9YWWlyFKJ1k6Cqy+XNrtoFf2qJ4/TLO9En8tTs4\nuQwDgwcIDaerhbQ1+azzHeswxBcGq5feRJg2zvEX0EGAmZ9okguJ+l21Jl1eJe5WqRdWqKzdJZ4f\nJ3BrDOaORlpZHWgR0WqlVSaPv4hVV+3Nhes41NIpylt3ccwEjdvvciB1CtN0+s6gj/vGp9Ex/Bnw\nv2ut/90nHftJjuEl65sESZPLo5tMznylbXbu3fxzJo//CmEqycRbHwGRAN7V2hscGX4Oa9dEtopR\nRUqDmN0tHVwzG4ShRyLRPSDei8Pm6mWGJ852rZdVgfVkEnvyoR6+ggxDxOW/Jjt1sscpAJQyowgV\n4HsllFfHGJgklFEe3AxqkZEVsks6oYW1rS0S00d7eocUNoZ28WRL3VN2FE0jgxYPl/DkYKTfL6Ki\ntHJr1O++j5kewi8sE2wtkjr7ErWrrxGbPEhqfJBADjZ3+wYKhyh3Et3VoAZITLEdvS893OY2aK0I\ny5v420sRQ/mDP8VO2VgDU1TuzpE8/gTSiCHSYwhhYeyaZlY3RgmF1UyIRX/TUZQgkHiYuo5WisIH\n30P5HpkzX0QqMGOJLuPvm6l2JNBCqAVhcRW5dRshBOV7Nxg4/iS2PUQlM05oOWgdTVHQ7TSkRlc2\nqV9+lYGBcYLCCoO5oxi7okitFX6jwvKN18gMH2YofRhpmG1WfGBZyEYduXIXd+02hmExmnqo33La\nx0+EnxvHIIT4DrDXKLE/1lr/381j/hh4DPh1vc8DCSH+CPgjgJmZmUfn5ub2vN9L1jcJdUA53iB4\n4nlULIZ0PQJdx29sExs+guEF7YjBSxiEyuspNs/XLhGzswxluyWqN7wFqrVVpiaf7lovyxKF9euM\nH+iVwrh5/S+Ife0/QwrZY6S98jrGte8zfLS77gBRGqmcGkEbBqWL3yZ76guYaAJhoqQdySc0dZGk\n1j07242tdbzSFtlTz3TcUyJ0iKO2cOUAvkyhxU4/f2v3LlUVLZxm/QG6CsU6Io2Z2sVS24h6ATcs\nEzbqFG/Ok3joWep3LqBVQOLEE1Qvvo49fhSUwlu9Rfrss1QuvoawE8Rnz1O98kOcmYcR0gStsEcO\nIoTENCWGdkG7KJlAEUMLgaHqXU4BwJUDeDKNbLewQhBo/I25qIB883XSx5/ETo0SxgYww3rb+Cth\nEMiIBS3Q0fsMPapzl6gv3yB7+ktUF64wmhoiltlpIYbIcQeGhRYSJSOuR/XKawTVbTKz57EDjRPP\nkilsdp0XBi5bi5epl1aYPPFlHM/cmeznOJQGBvDWbmPF0mxc+S6Zo88wXovj1Bt9h9DHT4yfG8fw\niQ8gxB8A/ynwZa117RMOB/aPGFodSDfNqxxwTqEHx9g6e4TCnR8Rc/Ikx04Q2hYDV+aIF6Pc/rXa\n2xwb/VLXdbRWVIwKyfhw13rdcvG8MqlUr3TGva33GZl6BCl3dnu+IanMvcvw0BFKQ2M9fAUlJaq6\nzUBlDcPu3km2agtaQGA6bP3oTxh47rdB+WjpNKUXmn1JzSK02FVvCKTNxuItkofOImQUGXSOiQyE\nTd2Y2tViKUAHRCmYWjPdFLVr7iDq77fDVRy9k3sPhI0rh1DCaqevdDtVpJuRhARhgg4xdA0QhCKB\naNYV0EHEw2jex9QuYTPqMNpSFt3fo3XvhjGGtxkJ2iWOPkn1+jvEpk+QGDuMFdabV5SERgwzrEXl\nbWEQGDGUUoTFNaTlUHzvL0mMzJCZPIU0bZSQSKVIVbuNO0DJTlGrbhMEHtW5CyRPPI+0YliZEWLV\nClKFKMMkv7GC1yiB1ty7/QaxA+dITD2MFQTES+X2SFffq7JqNAi8GoQBubGzSMMiNCR/9+88w3/5\n1V6F3z76uF98WrqSvgb818AL9+sU9kPLKRTjVQ4bj2AIE7ZL5K7N4efGsCeOYVQbZG8ttZ1CqHwy\n8d5g5l79I/Lp2Z71+YUfcvjQS11rSoXcXv4+Bx+K1l3HoTw4iAxDNi/+JenZR6nlBrFrZeqZfNfs\nZgVU3v73DJ/rnb/gOmmEDjGUgsAl+8jLkRuQDlK5hO20lwatUNLGDOvtDiWIupSGJg+z+v63caZP\nEh+ebI+JbM1kiLCT4486bTQagSQgxAdtN51DdIzUfuRGhAMdjiEUKQx8pA5QLWnp9h3CiH/c0kYS\nAo2NqeuETadg6jqBiEffU0jAbPYzta5j0GZTa59Ax/GWb2BnBtj84AfIgWnMmSdInfkaMpYk98RE\nFCGFtWaSLEoZGWEj6qDy6xTnryKsGKpRQQceucOPM/Ds30EohfCrKBF1bTlupIyqVUhlY57S0nWG\njjxBae5VzIPnSY8cw5k63XxujVWvYaiIwR6WNlhfvIrfqDAy+xyDz/5BlEIMQpQ0KA3kUVfeIGNl\n2Fj+EOvMV0nb2fZv5fd+/1mU1iwWdmZw9NHH3yR+1gS3/5lIyezbzTD6Ta31P3jQi7ScQiFWphaW\nyZuRsVdaMTf/V5wovYBY+KjnvE25wWjqeM+61opEbGDXmiaXPdAjr13SmwyMPNT+uZ5JI8OQ4sJ7\nDD38MkJIlFYIaZDeWqeWyaNMExkEOKt3sYe7W11bUEYkqgaAW6N+43Xy51/GM9NN49/BIRZGu3FT\nqu5WV1N5TDz0CNtLH2HnHYSU7TGe7Sto0dRJCptXlKA9QGJql0Ds3C86Q0RsadFdkI8ihSBiKujI\niHkiSUt6QrW5CxCVz43mv8J2oVrv6pSiychGCzQeyqtRvf4mRjwLfo2YKJPKTDL56C8SSJu6k0cJ\nA02I0BpB0JxbYSICF6OxSfHm+zRqNbIPfxkjO0ps6CBCGph+HUOFCL9GaMaiekGjinfrbWL5ce5d\nf5PU8AzJoRlyR6YR0iA5+0LEQ/E9EJLQNKG0SeXWWySmTlO6/Q4T2aNkh6OxroV8tGmQSuFVNqhv\n3AU7jkwmSDXSpMeeY9PK8Kt/+0my8Z33W24ETOb2Vtjto4+fNn6mjkFr3Ttj8gHRcgpuUhDTqTax\nB6AeC5jh4T2LujUnoFhcZjjd/QgNv0Q+fbDn+NX6TfL5Qz3rvl8jP7RzjcCykG6D+vptMk2dHaEU\noWmRKWy221MjGGyK3e2aEWQYRNGFVpixFFZmcGcHrkESotq1Ad3eDVt+sedaQkjyE6eY/8Gfk3/6\nN1GJ0abJbXIFRIuTYKLxkdrDUiWUTDVTPH6bSSy0h6FdRDu66Hhm7e9oMHU/AVq0lExbiNJTCqMZ\nYcgmD6JDUsSv467fhViexvyHqPIamfO/QHzsGObAFFKHZOqLO78LMxW18bLDA2hsrdJYvUkmm6Fw\n6wK5w2cZnzxL6CRwrTQiNQbotlMAwK3T+OgHmBICt0YiPURCZDl4/Gs7j97xa7N9F2O9yMbCB8jU\nIF48QXL8FAknz9Dk0+00EUDDr1K5+RbpyTNUli6Tn3wUw0kR2hbf+zf/CRDNTv7Xr90BIB0zKTcC\ninWfbzy+M2q2jz7+JvGzjhj+o9ByCqEOuNP4iOPxncJvya7QCCqMxg/3nLcpN7F1gsNDz/Z8tlS/\nzkTyXM96sTTP8PDJrrUgaFDenu9yDKbv05Ahg2d2Uk5aSoxdCpgtlFdvkZ3ozRs7bplaYiDiJWsV\n7V6FRCgfmiNBBcEOOU0H+7atAoSGQ/7J38bdnMeMDYG00aIpoKfDaFcuBGiJqUo4ukqgfEKRamod\nCaSuN1tSIyNu6m4nZOgKvmjxPVTEKsbocDztN9J6KpRwkNqD7RtU15YwJs9RvvAtZDxFfOYkQbWA\nnZ0iffZrSOVF6ahYNgpydokPKmmh3TL1rSUqt94nc/wpvK1l4hOnySifzOmd2pAMPKxgE8ctU43n\n0F6d7euv41e3yT78MunsEHmZ33NTARAGHipw2V6+QqOyyfix5xjMHCaebHaqVRVUN6LnUiEr829H\n7anyNOmJc8RjeeKHXuD3fv9ZinW/Kzo4MZ7lj56f5a8urbJYqDOZi/ONx6c4MZ7d61H66OOnjp95\n8fknQav4/JL1TbTW1JMhtohhy51Qe0HfZDrVGy3UY4qV0hUODDze85nWmopZJRnrbkP1gzphwsSy\nEt3Xsj20VthOqr3mOg43bn+HkSd+A6npmq+wm9EKUPbXiGdH9/yenTLbm+/+B0ZOP0MYH8A3Yihp\nR9PZtEIqDyts7Ely23nWiJAV+iU23vgzYoefwswMIONZjETL4GiEVhi60VXYBdo1CSWsnsEzneg8\nLhQ2uq0/JCNSWhjgLl7GW71F8vjTVC98h+TIILFUCsMDxk5GelCyJb+h2jUGier4zgGG8jALc1SW\nbpIcO8jK1fexhmdJHHoSLAepdRRBBH5P4divl6luLmDFM2wufETioWexc9OYWrcHJe1Gcf0W1e1F\ncqPH2Fq6zMDkaTLmYE96EaKZB4Wt2xQ3bjF+8CnMakgslsONx3j8979ENm51RQN/9Pxs3/D38TeO\nT01X0k+Cxx57TA9caCqk2vdIyTx5a6eIvMBtppOnewz/vfAWmdgY6dgIe6HAJnW3wOhAd2RwZ/NN\nxsYewbZTXes37n2H2VZ6oQmtNfe2PyJx6ouEphWNVdzH0ADcu/MaI8efQRrWnp+3UKOCYcfwYjka\nznAPASvmrvewczvRmtkggFAYeEYcf/0ujYWPSBx7isqFb2PmhnGGpnAXrxCbOUuwvYAhwTAU8WyG\nyvx1YoNj+OUCjc0VBs48zdbFNzATaRJjByjdvkRq5iG8QtQmGzv3G5QufA8zN4yZn6Ix9yHJ41GU\nZiWz2FL1sLZ3zyjQyKYGkUAEDbyNeYxElsKH3yM9OILtOBh2jHRslEYsTTU9Aqrj3UhJsrxGrFGh\nUVxla+5DBmYeprJ+l2z6AInsXp3UEVToUy+vsbnwIYPTD6NCn1xsAj+ebHMMTN9vdxW5jSJSmty7\n9RrJzDhj6RNIafS0l15ZLnZFA187Pdp3Cn38/4LPtGPIiAH9lPkSftIg0D5JY+c/qrJdpRoUGE/s\npGe01rhxKDaWGUkf3fe69+pXGR042cNyXm3cYmiwu0gdBC6rlWuMTp3vWt+q38NJ5LFjae4HC7df\nZbxj7sJutKIGz61SvvUG2XMvR/n4jh21UD6m8u8rYmj17vvSIjRaoy2jiWBohfRr+KFCGg5GfR2/\ntIWwHJJxB9EoYDgJpGF1qK7uj2JiBiWaqaSuXXVU6DbDBnF3oyf95QuLWqWCW9rCdOLUb71N+sBp\nqoVNZDxLduoMMb/WlplooZIcxDcstGFGlZGNOaxYmtL7f0HajpGbOY3jO+3BNR2c6j0AABsTSURB\nVLuhtaK6fQ87nmX19pvY8SxDBx7FcWUXx6DVdSaUwqsXaFTWcTbXCEvrTObPYpqxPtegj59LfCra\nVf9j4CYFC41LHI3vDNnxVINQB11OAeC29yFD9uF9nUIQutwqvsmRqa/0pAUKegPHzvScs+0vMTL5\nSM96YfkKUyd6pbn3Qhi45GdO7/t5p06SFUuiEQRmAiOsY4Y7rYsautpU94IVVHDtPKopp2GoEEG9\nWcCWUTupDgjtdETE0wppDJJI5iINVh0SN/eTv94bRlhHmUm6JsURTYlDBU2H5qGVImhUqW/co7p8\nh8GTTxEu32YoN4sTy8KpaIrdYIs/Uu/VWdQqxA89ype+gxnLIEwL5Tdwph5h+IlvkN9Y2dHk64BS\nAZsLH6J1iB3PEgYuGWuEQ4eak/M8usoj9Uwab2OOytz75GafoLxwgcz0ozizh/jgf/3DB3o/ffTx\n84pPrWPwVYPD8fNd6aK76gqHrO5pbGEqRl5OkYntnccPlU+BDQ6MfWHPXPHGxkfMTD/ftaa1Znvj\nBvnhXkczfPDxHg2c/bBVuIkV3z+yaHEZpI52+bnTL7D+wz8hfeZFEsmdMaF7tanuRqfyqpIWUvnt\n3vxOqW7dfAdaK3wjTqhbstz0SG58EmJ+ES1Ngtb8BwAUZljDX7lBYeEq9oEjbF55k/TUUfIDRxkc\niiKz5NSj+14XIPDqlFduYcVS1IureNUCqcd+lfSBx3HiOxGkktH0s1JukNC0kJ6LubVCY+U61e0F\nxo58gWRugow1vG+h2a0XQQiW7r6O9s4QTwwzfOgFDDvBH/3Tf4zSmuVi477fSx99/LzjU5lKcmRC\nP535VWJyxziW7SpJc6BLMtsL68z71zg8/IU9r1M1a8ytvMGxmZeRoteYKx1SM+vEY93Kql4CvEaZ\nWGLXultmZeMi40d6u532QqE6T3Jwet+0TEsnqdNceYFHtbgO5VXiIzOY2dGItBVU0NJpG/0HMeKB\ntKk1h/xoIZq6P7o9P7r1DKbyPrbzab9rV+1BvNIGIgyofvQKqemTCCdFLJ4nG3yyQQ19l0ZpDSue\nZePWOwghGZg9h18rk4mPt2dheJZDNZtHaNUmEYamhVdax527QHLiBNvXXiM5c44xOUDM2/t7BH6d\n7fUb2E6aWnUNrUKmBs4jhMHX//g3e7qIWj/3Wcl9/LzjM51KsoTd5RQasZC16m2OZLuLytvGFjPp\nvXeeZVlGhSHHpl/a0ykALJUvE48P9jiGhZuvMH24ty5Q8jfIjuxfw+iE1prq5gKpfQhu0M1laMG0\nYmSGZhDpQbZuvkFqRiHCBgwfjgq2OprI5tp5uE8jbioPQwcI1UC3JCLaKqUCIQRm2ACt8c0U5q5a\nhtYKv1rCsGOU7l5GmBaGHaeydIvckXPU730PshNkZh8n9fivRzOMhUGi1lsTUYFPZWOeWGaYtas/\nIp4bxUkN4DfKJI1BZg6/uHNwMtd1ru276MImpbBOKCXlq68Rnz6NADLDx3BigyTO/hpKShoqJLYe\ntZMGfgOtFSsL76C1YnTyEeLJQbJymA9e/1+67tHnGPTxecCnMmLImsP66cyvAk0D6zRIWLlIBqOJ\nRXWHgcQBYlZvqmZbr7NRvMGhiRf2TB9BJIoX+DUymemezxa23mV8plf0brM6R2aoV0pjLzQqGxRK\ndxk68vi+x3TWGCL27o5BbRVew8BjcekK1vBBDNPAygwj4pm2KJwdVO4reugsTith4BvJJs9BYQYV\nVGkDGU9RvvketrtNfHCC4t3LZGaO09heRauQ/NHz6M0iTjKPNLtrHp2ttzIMcNwyVuChAp/ArbJ+\n821SQwcI/QaGHSOfOdwzLW8vaK1pVDfZXrxEduwhiivXsBM5xgZPI4RkY2Icw++OupRWlNdv4Ny7\nTTw5SHHrLiOT50gGSb736h9/4j37XUV9fFrxme5K6nQM8/omeWecjL0TLYRJh/ntdzk42Gu8V/05\nsskJLDO5Z05Za83c9jvE44MMDfXKZWwHy8QSA1h2sue827e+xcyZX7iv71CjROg1iOf2rn20sJ9B\n7UQr5VRZ/gi3sI5z6FHKl14lNn4M6Vdx1+cZPn6e8vW3kXYMlCI7e4btG+/i5EYQUlJevUfi9Feo\n3HwboRWx4y9QvvwqybGD4DcI3SrJI08iSgVyUuzb2fNJ0CqkunkPw45RXLyGVgGjx5/DrHNf1/Td\nKuXNu6Ty06zc+hFOcoD82HFsz8CyEz3HF4aHCNGoapH61hy1tVvkTrxIUFhmupbi1df+8U/0Pfro\n49OIz4djSMYpeMvknZ0JWForlvU849lTPedtqVVq7hYTQ73M5ta5a+5dspkZLGtvXZobC9/m4PGX\neyINrUJK4Sbm4AEaydQnchiUCli+9xaJ/ASJgYkenf4HQWuYj9QKz0qgmw5PaIXt19vqoPHCIqHn\nIqTEdBKo0EdIk8CO48UyBKaDEpEst1Qh2jCRob9vtHI/iP6+NOvX30KFPunRQ3jVAgPZw5/4nX23\nSrWwSDw9wurtN0kNTGNYMaQ0ycUmPjaiqJZX2V6/TmbmPPfWPiQ9cZJ0ZpZf+8ZTfUJZH59bfOYd\nw5Ppr3Mj+IDj+e6OoYXgBtn4RBeJTWvNXOV9xofOYZl7G3ytNXe23mRw4Bip1N6kJ9+v4zo+sV3T\n2QAWV35McuYc3uhMV/Hz41jPrfveu/MqhhVj5KFn9jzmk9CZcvLsRDTYXoi2/o8mGiCTKa1+7Lm7\nHQDwidFKz/dRikZ5A+W7BF6N8sotho48gR1Y2LHett9OhIGLW91iY+EC+YmTNCobOPEcA8mZfVN+\n0Ewn1bdBK1YWfkxu8BCmFSep0vzgR/+8n/rpo48mPvOO4eTgl7GNOAmzg9xm1bDMOI65w1DWWlMU\nW4TKJ5/eu9AbhC6L5UtMTjy5b8tiWRRZvPNDDp34RfxEqof5unz9r0k/9Vt7zlyQYdgzqGU3lArZ\n2PyIoF5m6NhT95Vf70Qr5eQ6SUBjBm5bFO7j5gl0RhvtZ/mY47XWNIqrBF4d04qzNXeBzPhR3PIG\nbnmLkePPUFq+QSI/Sdr5+DSZCn3KG3eJpYdYu/MOdjzTJJQJhJBdU8w6GcYAnltha+0qyfQopa05\nTDvORPZhvvfqP3qg99ZHH58nfKYdQ9Ia0KfzX2YgtpNCCnXAteqbHB/7atfu8k75XUYHThPbg6QG\nkaFbKF1geOgk9q66QQtFtYGQklhiED+e6GK+aikJpUDPXYDDjyDDoEcurjWo5X5Q9tcAqG0tkZs6\nidE1W/mT8UkF6901i8B0MEK355m1NElt36OyPg9A6NWpbi4wfOwpKmt3SdpDJLLjCCE+djffCa0V\nKgxYvf0Gpp0glhxE65CBxIGe+kIPw7hRAidO5a0/JSYdBkZPYFQ8Xn/zX+zrzPvoo49ufKYdQ8xM\n6y+O/70ug1CxXWwz3jW32Y9L1rY+Ynzo7F6XoSLLrKy+z+zBL+97r+1gha21K8wc/TJCSArDQyjZ\nHRWEQlC4/SMQAntwCic5iOFETuZ+I4bdKFTnEVJS317BrWwyfPRp1q+/QSw3Sv7Awx8bUexXsK47\nSarJoUihQoWIMCA0HQyviqgVaazfxUoNUlm+jqpuM3XoPLXtJTKJqT0Lu/cDt1Yg8Ko0KhtUC0uM\nH3kWy6WneL8bW/k0W3fewTAsTDuJW1ole+BJLCPOhf/t7/9Ez9JHH593fKYdQ9Ye1c+M/Xb75w25\njutXmMjtyEuEyudueJP0uV8giNmYDY/U+jaxakSocp2QQnGOgfzhNkFqN5ZLl0nnZ4jFd3gMe7U/\naiC0TNKbW2xaIcXbb5A99ARueY3E1BlS5eK+NYZOeJbziYXrhpRsVJeoLH7E0NmXUas3MMOQeG6E\n0vINnPQQoVentrXI4KFHWb/5NoYVIzF9itXFG8SmTqDqRbzNRTIPf5XShb/Gyo2TGjtEWNkinj+A\nsBMfWxf5OGitKa3fpLR+m5GDj7O9fIXh/EM48f0lrAOvQb2+ie9VaVQ3cRtF4k//BrJYIpYe4fd+\nPyIMthjG/+K39nb0ffTRx8fjc+MYQhVQcRqknZEuw3M7vI44/TQxJ4cMQpRpoEyD/PwqlcJNCoU7\nzB58cb9bAFDUm1SKi8STg8QSg9hOas+IQUmJVCG59Y2dec+mQW3xIkZ5G1tDIjOKk+wtWrewF2t3\nd+G68xjCAA3U1m6RqDfIJAfw6iVMJxlFE0Ii5c6A+VJukHoyg2wNo4E2T0GEIbbn3pcabAuuadNI\nJqkVllDlTVJmkuKtN8mOHsVJ5EmJTI80iFYh9domtpNmee4tTCtBGLo48RyxxACv/eU/I5WK6kP/\n8tvX+wzjPvr4KeMzzXzuxI3GuxxKPd3lFDbCZZxjTyGdHEYQGcLW/1eG89i1FIZh0WgUiMVye14X\nICsGyeYG8bwKiwvvMDxxFr2wiTp0BmBndrNhkCxEwm6O6+KsN42qHIHsCIFfZ2npPfITJ9EqJJ7u\nlf1uJFPNOQOqfW0lo3W74PYe08zrJ8cfQoYhRmGTeHp43+8SmhZCBc15Bs3NgNYoaRCv1z421aW1\nRoU+hZWrgEbH0myVFskdexZVK2Inh2HoAFOxkXZx2G0UqZZXSaRGWJl/i1R2CiEEgd9gNHWMax/+\nByxrf+G/r50e7TOM++jjZ4RPtWPwkxYj8khXXSFUPhuFa6SzzyO9bmE5GYQEMZshnSOeOctmZZFa\nbQPDsMlmZ/a9j22nmB17DhUEFIqXoLoJY7MYQ1NYQUiyUOga37gbphVnZuoLhKHP0tq7kc5SaqhL\n7C00LWTYPSqzNRL0QY7ZD0bgoxCEjhMJXWiNlpGTiFWjcaOe5VBPJPGCBvW5D0gZCYLicjSh7Ohz\npMw8ifQopdExxuWTSKXQ9gDVtRtUbr+D6yTxr7/F4Ogp3Po2lpPmjW/9U+R9SHTvRn+KWR99/Ozw\nqU0lnR/+OivhHAcGn+j6bEuvkUlMsHVoitAy2pECQGgaGH7I0N3l9prSIau1GySTo/h+lVzu/iQt\nNr0FttauMnXoBaQ0MMwH6x5aWnsfr15k/OjzSMOklBv8xFbX+zlmP7TSUEHgExqSxvpdhOVgry8Q\nLF8nd+QZVlYuIw2L3OEnUbUa1sAUme1tHNdFqQDfq7G+9CHVXA6pFH5pnezsYyi/Tiwxxi/+zkv9\n/H8fffwc4zNfYzgw8hQj6WOY0m6vu0GFG9uvc/Lg12kkY2zPjCKDsKfG0CpAd0JrzVL1IywzwcDA\nkftuwayaNZbn3iQ/fIxkehRzH8b0ftiqzrN570OGTn4Ff+JQu8aghEBpRaKwCaU1TDuBb8WoZfMY\nloPU0XgBpRWxjSUcDb5bIXCrxNMjbC5+iGHY0aCa9VsMTJ5ha3MOzxBkT38Ff+02eZ0kJZyubiu8\nBn69RFDfZvPGDzFMG7m9DsDI9KPIqsdv/Hf/ABXLkkvsvPt+/r+PPn7+8Zl2DHE7p5859IdYRq+k\nQhA3WC9cxzRjJMdPUhnO79mV9HG4sfZ9MulJhoZOPNBzzW+8Qxi6TB78AqKj8PtJ0FrjWj7zN35A\n6DhkTn2F0uXvEjfjDAwepLI1TzI3gVvdplLbJnbqi2xe/wFmeohkfgp190PyA9P4bhUVeAymZvH9\nKraT2bOtVWtNGDQobc+DALdeYGnzGsnhowSNIspvMDj7PJaV4uXf/Sr/6ne7o7KWwmh/bnEffXy6\n8Jl2DDEro7947D/f93OtNSvebVKJ0YjbYD54D37VqFIqLZDNHsBxPl7KYTe2/CXWly8wceBpYomB\nfaOPj2P27ofdxK9W8Tu9udlzru/VCEMXt15ga/UqqdwU5e15KqUlhifO4rsVDF8wMf4oX/uv/hae\nEb/vLqC+zEQffXz68Jl2DNn4uH760N/7xOO8sM6d4jtMDD1CMj70wPcJQpf5wntMjD+OacYemGHr\nJQRz175FMjPWMwb0QQx8J3a3y2ql8LwKjdXrDIUxChs3qZQWSedmqBTu4Xs1pkYeo17fIh4fYNg5\nwLfe/ic936UfBfTRx2cffcfQAS8GtxZf4cDY08TsBzdyRb3B0vKPOXjgS9h26pNP2H3/uGb13nuk\n8zOkMtHc4k/iQ3RCa4XbKAGaZbNBY+Um2ZnzbN96Hb+ygZUewa8WcKo1BvNHaLhFhuOH+Pab/4JM\nJnPfDq0fBfTRx2cbfcewC6HyqRgV6m6B4dyx+y4ut6BUQN1yWV+/zOTkg4vcaa0iJnV2CqUVlYNH\n8VZuETbKJEePsXXjBzj5KbRtI25dYHTqUdYW38f3qqRzMxS3bhMGDayJ0xTvvUd69ATStDBkDCc7\nw9//L36Tf/jLDz/QM/XRRx+fL3ymCW4Nv0TDLxGz7j/3b0iLrM6jbcW9tXeYHHls35Gee0FKk2Ro\nEg4cpVxejIrbyV6i2n4QQjKRPUPFKFPdnkPWJzCsFLaRhoZHfvI8heWLxDOThK7P0rVXiccHqVdL\nZOIJBIPk8jP86z/9Z/yb1xd6Uj6/8uj+I0L76KOPPh4En8qIIWOP6PMHv8l65QZTuXMPvPsHWGxc\nw/XKHBh7+oHP11qxULqAlCbjY+c/9tggaBAEDUwzRrE0j2nEcL0y27VljKOPsnnx/yU7cQa3vI5M\nZJmxZ1GFFXIM8b1r/3LPa/ZTPn300cdPgs92KqmplVS0KjT8IrnENLbxYPwBgJrl0nALIAS5VO9s\n509CkDBZXHoLz6swOfEEi0tvk0yOYJlxCsU5hoZOsL5+GcuM4/n/X3v3Glr3Xcdx/P3pyWmSk1uT\n9LomzdpBq3WdDmMV9mDTXZizrD7wiaIgKnuisEFl6PpA8IIPFCfoYNSBDByI4GQiiGvn2EBdcXar\nZcucta5d0qbt0kua5npyvj44J6b/kV7SNPnl8nk9yjk5Bz75Ec7n///9zv/3H+Li4AnWNGyh7/wR\nVjR0kGtcxXjLau772mfpWN3MA7et8we8mc2aRT2VNKFprJ4m6jnW30Upxulo+di03l8Yq6ZWq+ke\nepPqfD35qgJVuWu/grlqsEh700colcYYOHuK5aU8jVrJf7tfpq62lb7jhyiOXaRKJVqWr+KFV35B\nW1sbNTXXfxtPM7PZtqCLYcKGqi0U66rp7e+iOldHc93l9z16P0m0Fz7E2MgQh0++yNqWW6kvrKE4\nPkJuWZ6BwZPkctWMl0bpv9jDqhVbONF3CAjqa9fQc/pV1q/6KGf7DlOdbyA3UqS9YRt7Dz5BU5OP\n/s1s4VkUxQBQdXGEtbRzoniMwdGz5HO1U14ZfTn5XC0fbP0kY7XLOP7eawixsmkz/YO9NNLMuaF3\nGSkOouUbiZFhmgvtFFhBc92d/PntPb6LmJktGoumGKB89H+TOhgZHOTIyF9pb76dwvLmK76nFCVK\nUWRg+BTnhnpoLWzkwrlullfV0zfShaJINcu4KXcLe3uevOJW0WZmi8GiKoYJ1bkCHyh8nNFcjrd6\n97Gy/hZKMUb/UC/rV3yY4+cPsUxV5KtqOdX/b/K5GmryjdQU84yVzrAptvB899NeCzCzJWlRFsOE\n3MAw66o2UT1W4PhgF4VcHcPne4mRYVYXNjM+Ps7LR/9GS8vl76xmZrbUzItikLQL+DGwKiLeu9rr\nJ4xHkbHSMHnVcGakm9HSEA35Vk4O/YfW6nZGS0MA1I/W0KHN7O375Sz9BWZmi0fyYpDUDtwHHLvW\n94yMD9A90EUpRhkeH2BdYTNjgxdozLVQVyrwl/P7Zy+wmdkil7wYgMeBR4HnrvUNy8hRGKsmP5jn\npdF95HLT27fIzMwuL2kxSNoJ9ETEwat93VPSQ8BDABs2bGD/0d/PQUIzs6Vn1otB0j5g7RS/2g08\nRnka6aoiYg+wB6Czs3Ph7eNhZrZAzHoxRMQ9Uz0vaRuwEZg4W2gDDkjaHhG9s53LzMymlmwqKSIO\nAf/ft1rSO0DndL6VZGZmN97096s2M7NFbT58KwmAiLg5dQYzM/MZg5mZvY+LwczMMlwMZmaW4WIw\nM7MMF4OZmWW4GMzMLMPFYGZmGS4GMzPLcDGYmVmGi8HMzDJcDGZmluFiMDOzDBeDmZlluBjMzCzD\nxWBmZhkuBjMzy1BEpM4wbZJOA0cTx1gJ+DakZR6LSR6LSR6LSfNlLDoiYtXVXrQgi2E+kPRqRHSm\nzjEfeCwmeSwmeSwmLbSx8FSSmZlluBjMzCzDxXD99qQOMI94LCZ5LCZ5LCYtqLHwGoOZmWX4jMHM\nzDJcDGZmluFiuAEk7ZIUklamzpKKpB9JekvSPyX9TtKK1JnmmqT7Jf1L0mFJ30qdJxVJ7ZJelPSm\npDckPZw6U0qScpJek/SH1FmulYthhiS1A/cBx1JnSWwvcGtE3Aa8DXw7cZ45JSkHPAF8GtgKfF7S\n1rSpkikCuyJiK/AJ4OtLeCwAHga6UoeYDhfDzD0OPAos6VX8iHg+IoqVh68AbSnzJLAdOBwRRyJi\nFPg1sDNxpiQi4kREHKj8fIHyh+L6tKnSkNQGfAZ4KnWW6XAxzICknUBPRBxMnWWe+Qrwx9Qh5th6\n4N1LHnezRD8MLyXpZuB2YH/aJMn8lPKBYyl1kOmoSh1gvpO0D1g7xa92A49RnkZaEq40FhHxXOU1\nuylPJTwzl9ls/pFUD/wWeCQi+lPnmWuSdgCnIuIfku5KnWc6XAxXERH3TPW8pG3ARuCgJChPnRyQ\ntD0ieucw4py53FhMkPRlYAdwdyy9C2R6gPZLHrdVnluSJOUpl8IzEfFs6jyJ3AE8KOkBoAZolPSr\niPhi4lxX5QvcbhBJ7wCdETEfdlCcc5LuB34C3BkRp1PnmWuSqigvut9NuRD+DnwhIt5IGiwBlY+U\nngbORMQjqfPMB5Uzhm9GxI7UWa6F1xjsRvk50ADslfS6pCdTB5pLlYX3bwB/orzY+pulWAoVdwBf\nAj5V+V94vXLUbAuEzxjMzCzDZwxmZpbhYjAzswwXg5mZZbgYzMwsw8VgZmYZLgYzM8twMZjNQGV7\n6XsrP39f0s9SZzKbKW+JYTYz3wG+K2k15c3iHkycx2zGfIGb2QxJegmoB+6KiAuSNlHeZLEpIj6X\nNp3Z9HkqyWwGKpsprgNGK/ceoHJPhq+mTWZ2/VwMZtdJ0jrK24vvBAYqGwmaLXguBrPrIKkAPEv5\nFpZdwPcorzeYLXheYzC7wSS1Aj8A7gWeiogfJo5kNi0uBjMzy/BUkpmZZbgYzMwsw8VgZmYZLgYz\nM8twMZiZWYaLwczMMlwMZmaW4WIwM7MMF4OZmWX8D++gjd4wEMgPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1167d8b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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sde2Rfpum1UeMTWSmabuSlAJZL1E9+nVSA2OkRJ10ehA7tb5UxdrsqbUpt4tm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\na6tcu1u7VeOpLWlsj62RNLYlWZQlKjB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kyT34m8hElsbJPdRP7iGsl67hCp33L2yX/BN/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ogwmaVEg2p1jkR2hMrxF8n1bcEwLIRhkurfhu/GacQTFKfeIywv0D+yk/KFt8hu2Y+R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\nKN4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cc007b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1+t0Kc7s+jWu3KI4dwLVbpDLTJNOTdFrLyNDC0JO4bhuRHaOuuzjjU6TyW+ms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Rr8SlyUJslxs9D1RUDz2+RHD9K1+yEWb75JtXL9rvPSzCyLF1/ZfLwRPooUBTkMiBSFdr6Ip29d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\nsoIkAoLQp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kZPJpDqM8h4yOEwxuBWise/jzl5DRDIepT0M39M4+45GmPnkRSV6JanKR79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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1255be7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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KSRT2l9PutctAf2huu7pMqjBFY/tqfwb1oL/Ezoz0R9YM5ic0Ni8jFIXi5HFa\nO0uk9CKaZiNlhG6m+g/j+Tbctd8sKD2njqIZ+L0WTqdCtrSPreWvo+oW6dwUO1uvkRs6QLe5ges0\nSBemWb/+52SL8/Scnf7scjtLu7HO+OwT1MqXMK0c6dwkrfoK2dI+ZBQghIKdLIEQd2W0mYxCfK+L\noum03O3+XJbSLFvXXySRHUNRtf6aTbMPU105gxAqxanjtKqLJHMTvPLH/yQerhq7M7d33qYtjVYv\noOH4/M2PzL1pcAjDsP+ErQM/yY5SxdRSVJ0lQlWgKTpNZ4NCcpaau04hM0MQ+khdRdUsxsYeZmvr\nZazCGLqRoF65ytDEA7jCBSStyiLF6QdwdR+3vo2ezOIOL2BYKeqXv9J/Tm9+DNcLMMcOYkiH0MoR\nCg1EfxavkCFK5KGHPSy32h8GCERej1BP0hMWkdtBT+dxdzYRmoGuRPRqZfTCFEFjA9Euk52Yp7l8\nET2RRrOSdLaXSY3N091axnXapI4+Te3VL2MWRjF1ld76FVL7T9DcWCIMArIHH6Pz2pdQRw6gqApu\neZnUwsO0Ln+NUNFI7n8C5/yfYo3OI0OfXnmV3NEP0z33Jyi6RXrqIPWrr5Aa78+s9Vo7FA4+Smvl\nInoyi5kdotLsoQ3NEjS2CZ0G9vzDeBtX0e0Mw1GPZnIITdNRbitkJRApGunmJoHbQVF1WpvX8J0m\nYvIYnWaF9IEn+7UGoSCFACSW02HtP/4SE0c+Rq9Vxu+1GZ57lGb5GmYyT0LJEQY9DDMzGLZ6d4fd\nwmDorYzw3BYgiCKfbmuLVHaSne2LBH6XofHjbK2cIpWbBClpN9YYmXqE7dXTKKpBKjtOc2cJO1Wi\n09ggU5ih3VgnigJGpk6wvXqadG6KKArptrcZnXqEVn0Zw8qQSI3szje5G4ErigJA0G1tERigaDqN\nzcukSzO7TV+7jxdND2EmcnQbG+TGDhO4bRTVwE73O6CF8s2v9/O/9TNxYIjdmX/6+cs0HJ+sfWst\n+//nl38ftedhnT1NxVtFFxaKEKhWio3uJZJanow5Qk91ydij7HQWGc4cQNoG9dYyufQ0QtFQhEY9\n2CKRHO4/OUvVWdx8DsPMMDz5IABr6y8CMDx/EhkFOGqP+tJZSgdOIhSVjcoSWn4MVVEwCv2OWFdL\nIWQInXVq5/4ca/YEXmWJsFUlffwZWq/8KXqugJEp0Vs6R2bfYdy1y7hOSOaBZ2ie+U8YxQlUO4Wz\nuYx98EOaCxaqAAAgAElEQVQE6+eBCHvmfrpLr2HnkuiKxG83sEenCbfKCFXDzJbw23VI5gn0NGEE\numkRtLaI9DSqYRG2d8DOEqKBlKjJDErQRRP9UUX9/EdIQCoaQoKQAYoMsN0qvpYiUnTkzXZ+BMLr\nYMgeUWMLpEQxLHZCGzU7gowC8ByUdAlv6waKkGSCHXY2VrAmj9Jbu4hiWKT3P0rYbKAnc2S89hs+\nC75mUGlUIZGndfZz2NP3k5x/ZLePQXcddtbOkSrOkBSZN6QHcE0TJ50m1HVU38dutXZHa0G/cA+8\nLlEUIISg09rEShTpNDdwOmWGJx9ic+lFrEEber1yleLoMZo7N/C9DmOzj1PdfI1kegRF1ZGtLoqi\n0g5r5IcPsLV8CsPKYCUK/Y7Z0WM0dxbxvTZjs4+zs3WRZGYUw8wQRQGmlb1rs8SjKOwvTaIo9OjS\nbWySHT3A1rXn0XSbzPA+dlbPkhlewHOauJ0dRuZP0qzcwEzmsVIlZBShGdZdq2FEUUivXUHVTF7+\nw/85DgyxO/Mzv32GsazFr//j39t9zXOb1N1l5hclhjCJiFgMX2M8eYSk3l/zfT24jh/2mCo8SCQj\nunqPRmuV0eJREIKeEbG5+RITE4+hKBrrtTOomklx9Cgg2N45Txi4DM08jBAKraDK9sU/Z+TIRzBT\neVrdDWQU4fk++vzJQWdohEShuX4Vd/ks+YeeJtIzYCSBQY2BAImKQogqu4CCREGPavhKHsGtjuNQ\nKgSRDkJDOjuIoIOeSOG3aqi6jh5UCTpNzPwITnkVIolZHKW1voTIzyO9Ln5tg+S+E7QWL6AZOvbw\nJN3162hD+wh7HfzqOokDj9E+96dolok1PEPr2jms2QcJ6hsEjS1Sxz9B+8zn0TIljPwwvcWXSSw8\nRG97jaC1Q/b4R2id+QJ6YRzTVumtXiS7/3521mpEYUDqvo/hXD+FXpxCtTNIv0fOCFA0A9fI9zs9\nO1WEatJZehXbUMFr45TXKBx6BCPQ0e3+A+x9zcCxcwSa1R9Tv3KG8ez8bp9EFPpsXHmO8YNPoff2\nlh9rm2dQDp6kfuGLkMhgTd9H58rzFNOTqDtbOJ0yozOPUVk/h50sksyM4e9USSRKgEBRNDyvSRh4\nKLkMO9sXSaSGcXtNnPY2o9OPsbn8IoaZJpWbolG9Rn7owODOG5LpMaSM7srMcCklYegiUHA6FZyo\nSaowzfbi17GSBVTdolVZpDTzEDtrr4KMKE0/RH3rMqn8JKpuDSb/5RCKendqGGGA7/abF5vOOl63\nQXpkgfLlF0gUxhGqRqe8RHHhBLXFMwhVozB7nE55GTs/xqu/90txYIjdmX/6+cv9GoLbH88tVUF5\n+2VKQ8cZObvIplgla46gKRaGarEZLdPzGkwXH0EIgWuGXF/7M6ZGHiNhFWirXZaXv8zk5BMkEiUa\nYRkpI6QMSeemaIc1At8hCn0ypTk8p8nqjS8zfv/HUfT+mvXl1ZeQUUTh4In+wnCKgacmaCydRVVA\nz+QQpQOg6Eh0EBIZRUTbFxG5MVpnv4iWyqNlMjiLF0kefBx38xqR3yN5+EmcKy+gZYsIPYVXXsGe\newB37RIgsGYfwF09j5YdRlECglYZfWyBoLIFaFj5In5tAy2ZQwKB56PlJwidLoquYlkqvkgQoUHo\ng1BAURFCBRmhyRaRVIiUJLuPPANA9GsCBGiyiy8SSKHtvi4IAAUhA8yoDEBXjCDDCKGqBK0dhKIS\neQ7+9nWsyYN0z3wWPZEgdfQZpJLq54MILXTRgzZa5BH5HluvfIHk8Azp8ftxzTSRoqFEAabbonPj\nFaLQZ2T4/j2fm/LSaUjksGcf2a0d7Cx+DXP0AKI4iSIlIpJEqoKUEu3sl8gYOaqb/RuC4ckH+00+\n2f7S1DebfFr1ZXQjRSo3Qei76GYSRXnnd/Q3Z4D3OtX+CKGkQWP7GsncBN36Om63dqvZJlXETBZo\nVZcojB/tr0yraCRz48goRB18Tt+pMHARQqXbWMc3QdVMGmsXSI0s4NTW+zOcBxPhrMwQRqpAr7FF\nZvwAodtF0UzMTBEQdxR44rWSYnfswkaDH/7Jf4vierS2XiXAJ7vwYXJXlmhtnsNUk+StCbqGj+PV\n0FSLjD2CG3S40TjF1MgjWEaOIOxxo/oiU1MfQtNsoiikTZ1G9RpjMyeRSLqyRXX1LGP7P4wQKpXa\nJUS6AEPzYKZoXfkKwqkzcvQkgWLgaylCodK+9gJ2MQ+dHZKT+3BFEk8dBlT8xiZhp0ZQX0OoKva+\nkxAFKKYJUt4sV5F+iAwcFDNB2Gki9ARCUYh8F8VMEvU6yNBHTWQIahsoVgopA6JODb04g1dZBCR6\nYRJv8zpqJocMfMLGNtb0ETqXTyNUDXtklNbFl7Fm7iN0WvjVNVL3PUP7lc+hpguYI7N0r57CmnuQ\nYGeDoFEm9cAnaL/yR2i5MbT8OL0bL2PvexRv6yphq0rqgU/RfuWP0UtTqOkhvK2r2PP341fXIAJr\n5jjuxjW0dAk1VUBoGorodyAb7gpebZv65ddIHTiBu34FPT9Kcuo4pldDizwAfDQ2zz5HYvIwydLc\nbqe63d1B83tsnf8zJmc/stuW7ekmW/Ul7NIspppEKgpOKoVXWaFz+TlKD/1gv48C2PjSv6QweoxJ\na+yu9T9IGfUfNCQlrtKj29wkXZqjfOPrCEUlN3qQ6sqZweTBDk5zm5GFx2lsX8FMFEhkRwiDwdLi\nd6Ep6eayFp5TRygaDu3+DOiJw5QvP99f7G9sP7XFM6RH9+F3G3jdBqX9j9IpL2Ek85jpIiBR7tJ6\nUTefvnfz/OLAELtjz1qfplfMUp3N4uoRWWMEZeUqOxsvsT//BJGM8G1Y3XmFmdKjKEJjvXeFbGoc\nXUuiqSYVfw1F0bDtIoaRpOLcYGfrArOHPomi6tSdVcpLLzF19Fk0w8Y1Q8oXv4o9eQim7setrxB2\nG6iJHEZxEjVoE2op3MYafmMLRbOwpo6gRzUAHHUcd+Mqip2mt3SGxKEnUe2b60Xf/oUKB01LN/tP\nIkAZ/Nzcr9+KvzfdzX3Fba/L1/178/dg0MSlcmsE+OvfUw6OKQGPfrOXetu2m/sqg+PefA+x528Z\nRRAFRF4XoduEnSrS7aDlJ/G2rqNYaaJuA+fGadIPPYv0A5LZ/qQnKfq1BSklvdVLoJloyQy5QTYc\no0CIwFm/QhhJzOEFVCuFGrhkW9s49S3cVpVS4RBCCJq5IpGi0l06g1NdZvjop+ilUgS6TrR+BaHq\nGKlhUDXCdg1n8RQTWr/f4FsJDFJKPCNi69pXd1dc3Vk7T6owhWYm+4sOpoYQivLmz5D4Fo4X+g5C\nqDitbbphg9TwLJUrL2JmhlB1k/b2IsX5h6mvvIqMIooLD9HcuEaiOIGqW4BET2TvWn6iwEMoar82\nofgYqRyN62exhyYJnDa92jbFIyepvvYCejJDb2eD1OQBSqPHgDgwxO7Qs9anAVjWbpBUcwwZ0/i2\nQtuvkjXHiGTApfYLzJVOYhtZfEuwXbtIwiqQTU3iJzTW1l4gmRghX1jAdZtsNS4wNPEAupHA9zps\nbL7M8NwJVN1GRiEr176AXZggP32MppnGCxy6V79G7v6nEapGhIKv6rS+9rsYxTFS+/pPr5IoCBkS\nRA7tpRVk4JE4+MTgmQI3C1FJ5LaQUYS7cgElkSFsl/HLq6QefIb2y59HSeSxpg7RvfQi1sxxglaF\noLZB6viztM98DjVVwBiew7l2qj/Kp7JM2CyTeuBZ2q98Di0/hpYd7gek/Y/irl0mdJqk7v847bOf\nxxjdh2Im8bauYc+fwF17DRkEJPY/Rm/pFbTcGELTCZoVzPGDBLU1UHX0/DhhewclkUYoBigK4hve\nOb7+e3sz8NwUIUOP1st/iJ5Ok9732J6+FYDQd6n++WeYePwjGIFOxxohQhKpFlGvTf1r/4HCEz8G\nqkqmsY4eeERRyNqpzzJz6JM0R6d3J/r5nRp+u4oxtA83m0P1ffyddZqvfp7i459G93xM10dZPsfW\nyilmD33yjvsBpIzoyCabV56jOHWcdPHuPCDI77UpV85j58fp1Tdx2zu7zTZmuoSZLtCtrJKdOkzQ\n66CoGlZ+rN/cd7dqGDLCa/dvdnzNp7u1TGpiH40br/YfnrT/IXYufp3E8BRIiVvfJn/gBE51Dc1O\nY+VH+n0qr2vaCl2H+rVXKBx8FN279bmIA0Psm3rW+jRSSnasOjltBF0xaRld1trnOZh/kkiGdIwe\nppbE0JLcaJ5GU00mhh9GyojF2ml0PcHo6IP9L6/SolG9QXHsKKpq0olqtHdWyI4cRDcTbFfOYybz\n6MksupWi2V5j+9pr5B79PpTUEFIoEHg0XvkDtPwUmYXDb5hdXD//HDLwSD30g4NXb7+jh9bLf0jk\nOaTuf4agUUHPj/WblEQweBOdW3fzCm+sJdypW9+bm0MohaIhoxAZuCAUpO+iGAkirwtRhDAThM0y\nwrBARoSdOnp+DG/7BjKK0EtTuMvn0HKjRF4Pb/MKySMfpX328yhWEmvmON2Lz2FOHyNslpGBT/LY\n0whN6/df7MnbzZ8ANarTPPsVsseeQbmtT0OiQBTgXX0Oe3gCkvN4WnJwVfv7tS48hzV5hKRuker0\nZ4B73SZeu4oYux/0W3MeetVlGosvUXzkrxAYRn++Rm0Tui3s1Cj5cg3TcfsTwKixsfQi43Mfwkrk\n91zZpl/mxunfYeLwM/huh059jamjn0TVdO6GprdNffkcxYWHkVJiJLK3Hlj0DkgZEboOKApdv4bX\nrJIam6fy2vO7w4tbK5fIzh2ju7WE77QoHf0QrZVLWIUR9GQWGYZoiTSRntgdmaZE/m5/0B3lI4qo\nXniB0vj9aNbeJTLiwBB7SzdrCovqNYaMadJagYbeRFMsElqWSIZcbH+VhaEPYWhJqtEm6cQIumZT\nDfqTnAwjhW0X8KyIGxf+kJGpE6SyE/gWLJ35LIWJ+8gMzdGRTULPwevUyU4ewu+12br6VYYf+Cjd\n5DiBnoQopHvtRdTCJEI10fPjCHxU6aIQ0lm/SNjtYM8cQLVTBDLHzaYYKSM657+EUPXbahCvb+65\n2YR0exPPO23DfbPmpzvZdnM7t+WH2/6+M0GzjNAMWqd+H31ohuThJ3ljTQKghbf+GmE3xJo7gSIi\nFBkgkOhRDcXvUDn1RfInvwdPHScaTM6TKMjQpfPyZyk8+EmytVvLfQSew8orn6PwxF9D08zd5Tgi\nGeGd/zMyEw/RLQ0R6TphdY3Oi7/HkfFn9jSphKGPa3hsr73C6MyjaJq1u63R26C2cYHxg0/dtbvz\nWnux3xQjFFLDcyh3KdBsXn+eKPBJTeyjs36N1MQ+bparVn4E4G2dQ6D0R5LdPgoPoezpD/pGGjde\nxe80GF144k23v28CgxBiCvi3wAj9T/WvSin/+VuliQPDO/eM+UNs6ptMWYcRQlBRy3T8HWYyDxJG\nPi2tjW3kMLQEN5qnyaamyKWn6Oou5e3zjE88ShQFLG1+leLoERLpUaQMWV39KuniLKniDEIIyjsX\n6VZXGT36FELVaPe28Vs7JEbn0EybtjlEt7lD5LaRoY819cCgrAwQCHqbV1AMFX9nC3v/SYS42d5u\nAoLeymsoZgIZ+phjB77B2fY/41JKom4DhMBdu4SWKQ06h1dJHvow3ctfRbGzGCNzuKuvYYwuEHWb\nhN0G1uyD9JbPoiZyaJkSfmUFvTRN6DQhDNCHZwcd1sl+R7bXQxk81EVo/VrKN+5M/GZB5M7Uv/qb\npB/6btQ9D5ORQAgIpOxS/8Kvk/vQj6IYFnpYxZSd3T0bV87gagXs/d+1m1YMHqHZ+trvMDKzQEK9\ntUKn32vjuF2UzBQkc7vrMLntHbbKlxg+8uxuwPCDHuqN8wxRQlX3Fsiu22Snt0IiNUQiPbKn/2Gn\nvcjO2nkmDj+Dbibe9jWRUcR25VUS+TGc+ha5qaN3NBHsm/F7bbauv0B68gBmpohmv/MH+Egp8RSX\n6rVr+M0qufu/i8bZL6GYCYJOg5Enfgjb2/kGaSOcyhpIyKQn33QfeH8FhjFgTEr5khAiDZwG/oKU\n8rVvlCYODO/Ms9anWdNXGTZmMRWbdZYYTuxDU3QiGXGx9RzzQx/C1FNsutcp5fajKBob3SvoepJc\nbpZGVOkPvdRtTDvHTnsJzbARioqdHqLhrFFfvcjY/U/vftFXz/8J1tg+zLlHiBQdEXpUL72ARJC6\n7xP95hARIWRI2GsQ7Czi1eskjzw1+DLf6iwOOw3Cdg2/ukri8JNvOYLDufEyaqqAc/VF1FQBe9+j\nBI1ttMxQfyipjPqFudN/mpgwLMJuvT8qyesReV207ChBbR2haihWiqC+hZoZIuzUiDp1zIlDOEtn\nUK00ip3GXb+ENXUUd+0SQbPcn6fwyh+jl6b721dfI3How/RuvETk9Ugde5r2uT/FGJkHoeBtXCF5\n3zP45SXshRN31NQR9dr0ls9hLzyCUG/WmiL6NasIgYfsbuFX17GGFlA1DTPaW9BUltZRRw6i21kU\n0Z9YJ4WC2qsTXPwSuYXj6O6tax14Dmsv/SEzBz6x+3Szm53StTN/THHfR1B0k0hRCJsVWqc+w/6Z\nT77p/1fNX6eyfo7ZQ8/uOd8o9HEUh/LiKcb2f3jQqXvLpVP/H/mZY0SBh9uuMXTwcXqNbZCSwHMG\nzzuY/abX7060nS1q116hdLRfM319U823QkYhTtik+tKXyR58AMb7tToBBN0m7uYN7JEDKFaaZG/r\njemlZOOFz5Lf/xDp5PgbDzDYRwjx/gkMryeE+AzwL6SUn/9G+8SB4Vv30cKPs+peZF+i/9moqlVC\n6TOcmKdruLTdKsXUHIpQWHMuYeopCtl5PFthe/sco6MP0qLO5tKLzB7+JAA7rRt0fYfE0acIiOhV\nrqG7HXKlKRCCyvoZFFUnMf8gnllARiGtK88RhpC471MIEaEQEmGAgNaZzyEDl/TD3zNoO9/b/NO5\n8Bx+bY3sY38Z8RZV9KBZIeq1CGob2Ace/xaG/93e3PPuk1LirV/CKy+SPPpUf52lO0hT++L/Rfqh\n70bP3Vyr/2YhGwERkd+j/sV/Q+HJHyGt1vekd9QRnPXLdJcukDv5V1CQIAOkMNAil8pzv0H22Ecx\nUsO78xwUp4Xb+v/Ze68gudLzTPM5Nk96V1neouA92qANutGWbTkSKTMjcoaj3dBqRpcbupiJ2LnY\nq73Ym92IjdibCa00Gk3Ii6LYZHeT3WzvADS8L6C8zapKb4/99+JkOaAKQBtSIok3AlHddf48ec6p\nzO/9P/d+OVQjTJjYqvqsWy9RnblEatvjq+qzqblZlucvkQlvb0mir8EMBqgl45Rrs1RufELv4DGi\n0toas1mi7lVwrBqJzl2rGw4hBHXKZK98QGbno+jhJJXsKIFoG0asja8KIQTFwhie1UQxwoQyvV9L\nGEoIQX7mAo2FKdoffQFZC+BaTZpuGCWSonr9M5xKnvThl/CQkYV7m8fQLGRpFrKkO7b2hFzbZO7c\nT+g88Czn//p//+UjBkmSBoEPgP1CiPJW6+4Tw5fDN9r+gLw9R1rrQUZh1L3IYOwBVFnHCxuMLX3M\nUNtjSJLMVO0CPe0PIksK2eYEjtOko+MgFZHH81xC0XZcx2J89C26H/4d6ok0lrDJn/oBsQdeRYmk\n0JZGkawcTqNKtGc7DT2FVa9g1xZBNVA69rR27BJgUx89jWc1Ce85vm7HuGaUGxPnsXPTRI+8fIsH\ncTtq1z/GKcwRe/jbdySPu+PrCfN8VVQvvI2kaoT3PnWXlQLh2ljZcdRYCiWSxCeGjWWvbj2PW80R\njUjo6x6PKacQkoJTXsJr1tBSg7hqCEl4yJ6Jg0pz9jqhVDu6Gl7tc1CaNWY+f42B3S9Rb+/FkxVk\nz0MIj6XT/0Tm8LdQhCCxvIxlVslOnWKo+/ja+wYDlDozSI6D7Ho4wsaWXRpn36S/7yjKOhIpNmao\n5KZoH3x4QzWO59rUpRqlmSuktz2Iot+dSO/4JD2X5fmLBNM9mMVFYoN7v5b+C891WLj0Llo0SbCj\nj/rMKJGhPRQufUYg2Q5GjPrSEvFDz6Lp4S1zDJ7rkLv8CZ3Dx7YkBbOaxzXrBImiB2O/fFpJkiRF\ngPeB/0MI8f1Njv8H4D8A9Pf3Pzg5OfkLvsJfbhxL/g4L5hg7w0fxhEdZr6JIClE9wzIL2K5JZ3w3\nAFlrAl2LEI/0YAVlcrkRMpm9NDSTqZG32bb3VX8X1ZwlGG2n3t7L/LkfEdp9jEDbACAwS1lqV96j\n68BjBFT/Q1vSYhRP/IDEI99CBBKtrl6BU1nGa1bxGlWMgcO3XbtTzeOWFv08Qt/+O+78m5MXsBbH\niT74za+l0uTOuBfS2GzNlyMba3kKhEDP3Klc069GEp5H8b0/J3L4RbRUzy3HASTcap7iJ39N6ti/\nQTF0ZDwEKp6kIQsTc/YK9dlJ4ke/jeY2cGXdDy0JQfHjvya+7SBGehuS8IjUcniuQ215mkCoG6uj\nf3VGRLM0j92s0KV1bNBMmpv4lN70g8iyQr67HVeRUdw1VVdX8cNPyty1VdXT9YZ5qThCafHGbRVL\nVqNMvniDcGaAQDR9mzGfOP0DXLNB19GXKdw8Q6RrmKCWRFY01EAQ1zYpFScAgRIIEe74espjK+UZ\n5t75Bzqf+FeUbpwj0rcdPdGGThA9srEyq2nZiEjHplVJQngsnnuXUKaPZHrHlu9XXRynNHON/h3P\nrya/f6mIQZIkDfgR8BMhxP91t/X3PYYvhpczf0TNKRJS4rg4jFhn2J54DF0xcEIqi+URuhL7cFyL\nm8VP2N77PLKssGRNU6tl6e19nKpUxmwUiaUG8FyH0Ruv03/gFdxgjCVDxnEd9MwAklmleOIfiD74\nr5AjaRTPRrUrFC/8mEDvAQKdw7iSnzh2hYRTXqR+/ROiD76ErEVZX4svPBevUaZy9k1iD/8m8h2S\nj16zip2b9gfw9O77BQ2kv1Oo6efjaTRGP8cuLhB78Jt3uSafHOz8LLKmoa6O9dzYeOc2K7jleeRg\nCjWcWNWW8iQdSdi4TRN7cYRY9y5sJYzAa/keEtLSKEKW0aPdxCp+7Nu1m8yeeZPew7+DGY2tDgdS\ncvMURz5iYN2oyUZ1iUpxmu7kIRYHe1As+7byZFfXaJ+YJW/OkFu4xNDeVzfcrefa1ESZ/MwFOrc/\nscGDKNZnyI+doefBVzdUBXmOzcLYJ0R7dqBFEr4eVyVPbX6cxPAhCiOnSew40pKauDNWuvPvpax0\n4dK7BNKdJDp2fekEuGM2sMo5ZFUnYmQ2XSOEYHnkM1LbjmDYG8N190oMX78u7heE5H+D/z/g6r2Q\nwn18OYTVBLYwqQcshuNH0RWDGXuEpcrNFimYlMgx2HUMWVaoyDUkSaGn5zHskMT8xKdEE30Iz6Xq\n5und8zxuMMbk6Pt4jQqBzCCebdIsZgk/8CpyxG/tt806zfIieu8RjPYuBDIeCq7VoPDunyIbEeKP\nfqsVP18zC9bSJIWf/QnC80g88Z0tSUEID7dRoXTy+6jJboy+/fxCOAG4c8nrz+cigsMPEdn/LPWb\nJ9l6U+fvuiVZQku2U/78hzilbOv37oaVihFFTfZSPvmPOLUirhRGSCqysFCFSSAAkudQuPo+K53g\nAsm/u7ZB8pc/plFdxm41qymaQd/R36S0cJZgdork8gKxYo6wohNO9lBbFyEORjK0dR9iMvsJimnh\nKRvNkafIqJav35XLXiGeHr7tTmVFI6Ik0YIxsmOfbTiWCPWybf9vYJaXmT71Glat5L9G1eje+RSR\nYAeL596jtjBOuGOA9sNPo0eTdDz4/B1JwZF1GnqKitFFzejEkTUk4eBJCqaexJE3b9zr3P8Mya49\nX5oUXKvJwqk3CGnJO5CCR2nmKsFUz22k8EXwz+4xSJL0BPAhcJG1IOj/JoR4favX3PcY7h0vZ/4I\ngKbhMVY6yY7kMVRJp6Y3cD2bWLCTqlJlauEEO/tfQJZVpkrnUWSNjs7Dq6WEme6Dvqcw8jo9e55B\nM2JkNQckGS3VjakEyL//Z8SPfQclGAcEbmWR8onv03bsN5CNKJJwUUSVqqni1qqokThKOAyoLckK\nBc9sUDn3BpFDLyIHQneM6drFBSqn/onYI99GjbWvO/LPmzT+RcCcvYa1NE708MubHPWrkSS12tKI\n0rBzs0haGC3Rwcb94Fopr704AXgEMv0ISUUSHoqo4aEiOXVqk5cJDh9rvULyS1mFi7s8iaJqxGUV\nzfF3y67VJHv1QwZ2PL/hyspL41iNIp2ZQ6u/Ky6P4hhBnLY+9GASZUV4T1WJLyyhVMqYuk0gePts\nkNm5EyQ6d9GoLBNvH940fJhdvEB9eZqO/U+vVk5teJaqxcKpn5De8yhGsn3DsVpjkeXT76EEgqjh\nGKHhI9TzZYJtA4hoB8gqkgSK20QR7pZJ4q+K4tgF9GiSaLhnS2+4WV5m6drHDO375pbfm18aj0EI\n8ZEQQhJCHBRCHG7925IU7uPesUIKtYCJ7TXZlTyOJgcYbZzBdGrEgp2UpSKe8NjZ/yKSJLPQGCWT\n2U9H52GcsMJc/hyp9t14nkPVzdG9+2n0YJyZ8fexm1UCiQ5oVHBzY8SO/hZK0NfoF80ybr1M8ul/\njxdsx5ECuFIAqzZN9eTfEEin0cIGa3pEMm69THPiHJH9z6IYkS0/3MK1KZ/6AbIeJPnsH2xCCr+6\nhLCCQM9uIvufpzFxfpOjrQkOkoskCWTdQm9PUvn8h7jNGrc3/0lIkoLWPkj9+qe4jrPuiH8+SdHB\ntjDHPkMWnq+cigBJRkn3kT/3FuV1j13RDboPfYPZqU+xzbVeiVhmCCQJK7B2DYm2YdLhLtyJM+Sv\nv02lPkezMEl8YYlaaZTxufc33WULIbCaFQLhFInOnRtIoeIsM371dfKVCSKZQXof+uZtpOBaTeZG\nPvIGpsIAACAASURBVKA6c8Mvw43cTjwho41w73bUcIy2B55CinShRuJ4XpPqjc/Iv/enOGYVr+Ul\nSHh48tfTOAe0wlwFEIJYpHdLUqgX5nGtOoN7X/1aEuT/7B7Dl8F9j+HuWCGFhuEwVT7PjuQxQLBM\nlkSoB00xKIglcqWbDHU/hSRJjOdPkkhsIxrtpuhkqRSm6Bp8FOG5jN54g87txzAiaQrVSQLRNGbb\nIKZlkTv59ySPfQcpGMEXehPk3v0TEk98By0YBgQCmcbkOUKZAIF4EE8YmF4S8OvAK2feQFJ1Igdf\nuON9uY0y5vRltMwAWnKzmu2vjxhWp4Ut3MStFVCibTRunsQYPIRTmMcpLfr6SufeRI13oCa7/DkK\nu5/Ea1aQgzG0dN/PNd9ReP/PiT/6O8iBW+vpbSS1BkJG0QvIioVrytQmKmipPpRggo2hsLUO7PrN\nz9A7hlHDCXRRXdWoUkQVy1IoT4wQ2fU4SLI/5Q2B6zq+iix1YsqaAXatJvnxs3T3Pbrh6rJjJwjF\nOkiG+2+7J9e1yc1folFbon/n81saOtuq4xjypo1v+fIYkY5ttz17IQS5hUvUF6doP/S0Pwgp0nZb\nnsCsTlO6fo7Enocwi0tE+nYgKQoNpcOXP3cdlj55jeDQYYI9e5GQ0dza1+oxOGaDhVNvkDn4FGEt\nteW65ZunkCSJzq4Ht1xTXhrFala48en/+OVJPn9R3CeGO2OFFHJKjoASIqylkCSJm/XTdMX3EQok\nyVoTxCO96FoYx2kyU75IT+/jq/MV8tkrtHUfBCEomfMEQkk0I8rczAn0cIJ4z26KyFQ9Dy3Zjbyi\n/1Mt4C1fR+05iKwHWfEIzOwo1uIoicPH0JU8rqdjeZ24VoPG2AWCQ0eQAysGZXNDWj79GpKiET38\nEpuHi74+UnDKfhgs9ujvYi+Oo2UG/Ia4u8AnExdrcQKnOE+gezeVs29g9O5BTXQihxItFdivB57V\nwGtWN7m2lY5nF0mxQXIQAry6S/GjvyX57P+EJG3M66w8U89uUj75D6Qe+21U0WgFpnQkfImG0vXT\nKMleAh3bfWkN4fnVSq5N6b0/Y2j/c7fV+c+d+wndA0+sGnEhBPnZS6h6CM+1SEeHv7D0xcT4O7T1\nH8aIbOxVMOtFlpev0r77dlmIuZEPSO99dDVJvV5+wpMsip//BDkUJ9bXR8DQkbWN+QJTTmHmswir\nhhLvRAq1t5Td/RkX9ypdcTc08gsgBEElhrpFfs21TXKjp2nb+QiB5hbedWtaXik7QkfbQT760X++\nTwy/rng580eYQcF8bYTB2BFst8m8O0Fv8jCSJFEQS9Qay3RnDiOEYKZyiXR6N7oeZr54Ede16ex/\nGCEEoyM/pmP4MYLRDEu5q8S6diCrGiYwce4tksf/HVIgjO8puBQ/+G9kHvsmnh7Dn8EsUzr7YyJ7\nHkYOxQADWTLxhJ9XKH36fSIHv4ESTt5yF2sNbebcCE4pS3D70dVBPpvrC309xNAY/dyfexBOteQs\nwM7NUB/5lPC+p6me/yl6xzbUeAdSIOT/lNZfA9wqnS0E2IujNCcvEtp9zFdpTfUQ6NqJ8By0toEv\n2YAnUfzoL4k+8CpKKH7LsZVraP2UBGAiXJ3GzdMYA4du8TQ2hpgq539KbO+jqDK46ChYfqgEhWa5\nhrlwg/CuY8ieA5KE7DaRhMC78QHx+OCGPgLHalBcmiQ0+CieFliVz9DMOpXcBIFQksXxUwRjHXS0\nHbjjsyg153HsBqoeIpy43WssqSamHkKJZhCI1XCYaJSpXnuHjgNrhFFXYjQqWfIf/h2RXQ8T7N2N\nXS0iSxLhuIaVX0KNxP0KuWYDwkkK1y+TOvIysizhSRqurCMLe8Pwo6+CxvIs5amrdO96ZstEtfA8\nlm+eJNO2F83YfKPhuQ7Tl94k1bN/1TP78LX/dJ8Yfh3xcuaPmBHjRPU24oEOvLDBdP4MXYl9qHKA\nyeo5OtMH0LUwZalMduEsQ9u+gRCCkruIJMuEo51YZpVibYpE1x5kWWFx6RIAyYEDNLwypWoDdeAh\nJNk3fW69TH36EuE9j6MI2/cepABWfha3XsAY2I2vb+QhY2I3oXb5gy3KLl1/h+tp/myBsbO+iqi0\nXnBuRRTvVnw1YqiPngLHJrTLNx61qx8ih2JIkozesW2DIXVKWZqT5zEGD1M991PUVBfB4QfArSOH\n25CklR3w+lkLa9fpG5sqzYlzaJkBGmOnkY0okf3PtCa+3SlWvOYx2cvTPkFF07ccX6lAas14kByf\nHDwNt16jcu5NEo//my3O72IvT2HO3ySy9wl/TCrW6tO1pBCVcz8jtOsJVCPsz6v2LFTPRitPs3T+\nffoOriXGbVWnbiRY+uAv6HjgW77ciCwTLhVWR4YCWM0KZi1PfvYSbf1HiKpp5Ja2kmVWsFSH0uJN\n2gcf3tRoWlqAqakTxA69hKcF8FqvVa0abmUBOZxEVEYJBHRy5z/G1eIooQhGxyDUG2hd/TQXp0DW\niMVVGosz6LEUnm1jV0uEe7ehSPEvrXx6JwjP709I73sMwwtuua40c5VmaYneoSe3XGPWi1iNEkY4\nRVCsfWbvE8OvIV5q+49YISiZC7SHhqlqDbLla2zLPI4QgrJcxHYapGJDNHSHSmWORGIIWVYYn/+Q\naKKPRNswtiExe/Vnq7o0M9lzBHcfBz0EkkX+o78ifuy7eLrvKSALiid/SOzwC6CHUb06nqRRPPMm\nweEH0FJdgIZf/d4EdCoX3ie48/FNBN/AnyVgUnj/L4kceA49M7Tu+IqR9bjd4H55UvBsk9Inf03i\n+PeQJNnXQLKaOPlZjKEjINEipq2b1Ty7iVueozl1Cb17B+bMCMJqEnv4W76hl1U2ejW3xr89vEYF\nz6xRu/QOgf4DeLUCyBpG717Kp18j0LkdFBVz7hrRwy/RuHkKSTOIHHhuk+u6ddCQu+F5CSFo3DhB\naOdjm7zW/+fZTRo3PiO58/DqoB8ABw1PCtMYO4USjhHI+BpPhrmE4dT8z9vEZVIde5EkiWo4jZBk\nvFoRu7JMc3kKTwjadjxJvFxkMwghmLv2LrKioaV6KZbnSB55FU1SMGrVDYSygnxbmqXTPyJx7Ds4\nSNiFGZzyMubsNbzCNNH9T+DVyyT7e/Bch8LoGNGdx1q5sNZn4UvkCYTnYtcrmKUlqjM3iA/tx7Wa\nRHu3EnbcCNdq0swvIGsBoqHOTdcIIajnZgC/FHcrOHaTuWvvMjj07CqpruA+Mfya4aW2/8ioe5FM\ncJB4oBM7KJOvTdEW3QbAjfxH9HU+iqHHWLJmKBXHGRx6Ds9zyJavku7c15q0Nke9NE/70MMAZCsT\nmHqYSN8+rNoijYUxoruPtWKyMs1amfro6dbOX7RKHOs4ZgVzfgxj+Cggt6abOXhmg/KJ10gc/x7r\nE55r8Pywy/IEcjCOGrlV62Yrj+ErkILVxJy7jpbuRYmksBfHqd/4jPCe41TO/4TQjqM4pSWcwqw/\nYvOsP4JT79qBsGpo7QPIWrB1bTZrxl9BOHXceoXquXcJ9O0FIZD0IIGunbdIdWwuvy1cBzs37Xcv\nS/KG1wjPxSkvoSU2MyQrz+dWee+NA30qZ35MoG//um7qlTUeEjYCqJ5/l0hfCjW+t0UMHrbUKjMW\nHpXPf0j0oVfQXQfFs1YNanXuJmY5T8fAw5SjHcjexkFBVjWPJ8k0zrxGpH2IUKqHkAgjSTKWFqAZ\njuCqGngerqKius6qWut6b8O1TUzNYvHaxyjbHkIku6he+xAUHXPmCsmnfx9hmxidgyg0cCoVaqe/\nT+rgMfRQ15eSuBbCo56dpDJ7k9Suh8hdPUGke5hEYmi1Omrq3I/oeOiFu86HbuQXyF35hP5D37yj\nBtPsmTdI9O/fkhSEEGRHPyWS6icR3FxM7z4x/BrhxbY/pB6wEXhE9TZy0iLF+izbMo/jejY1peYP\nMjfS5JwFdD2CYSSRJImJhY9o6zqIEUpiai752Yu09fuDd6ZG3iL62L9G0gxQBfkzb5I89DxC0X3T\nIamUrn9GePcxv5wRQJhUz71BoKOXYN9au74jgoBKY/QcetfOdfHw9Tto3wsof/4aeucOjN493B4u\nErf8/GqleY3xszQnz5M4/j3qNz7Dmr9B5NBLVC/+lNiD30TWo0iqAsJhbfft/3PrZczsdbRUD40b\nn+E5FtEDT2EvTxPo3okUiCBTR5NLWF4nAgm3VsFaGEfrGKJy5sdo6V4CXTuQ9BBqqynwq4XDVgw7\nbPQW1h9f+50QHvbSJFpmcF1joMdaM5wKyFgLV0GW0NNDIKnQInqp5YXUrn0KdpX47uNEzMUN77h4\n9h2UvkOEOnYhizXJC69V1RSp5RBCUJm/QXnhJsm9xynVykQ79qDIKmYwhJAUdLOO4rrY9SLFhato\nbf1Yc9cRzQrpvQ9RvPQBIt1HbWYUJRgGRSf24Dcpn/kxRu9elECQ+tX3SD/2m8S8NW/jbt3LwvOo\nZSfJXfmEzodeJH/tJOHuYQLxNoJSdEtj7rkOteYiwbaeTY8DlCevYqQ6CcqxLfMJzfIS9eUZ2tsP\nbi2U59hYjSJ2s0oqsrWEx31i+DXBi21/yHXrc/pjhwlrScpqBQmJcKANxzMZyX3Itp6nCOhR5us3\ncOwGXd0PYZoVFooX6dnmxynnF88CkBl4ENexKTdn0YIxzO69eJVlSmMnST3wIuCbFqfZIH/mxySf\n+veshHZkYeFhU58ZIzywc93sBHCETunT14keeWV1TsFGCH+o++xVv/QzmmbriqOv3sDm1grUb3xG\naOfjCNehMXaa0M5HMWeuoMYyeFYDYdVxqwWc0jzRwy9hzo0QbQujx9uwpTiuHEQSApkmAhVwcR0w\nF8dAlnFLc9i5eTKPPECzaSDHVohyvcH2sItZGqOnCW47Qu3Kh+htAwR3PrpF6OpuuHUo0Z3W+cfr\nN04gGyGMvp34IT9/8tsKKYCNEC7FD/+WxOO/648dlVrnFzYyLgIJa/4GqmQT01TUwFqMXAhBOTuN\nY6SojZ4mPHQIz7Yw2oaIeNZqU9wKKsEk9cUxRLOKcGxqxSzRg89TOf8WmiITHDhIZf6GL1FemMGu\nFtE7+jAnz5J66HkKo6OE9x5HMaIISfVnN1eyKIqKrhsYdvGecwJmcYmlix/Q/fhvQrGKFox9oSKB\npZmzqKEY0Z7ttx0rjl0AoK3rwJav91yHpZFP6e57bMu50VajzMyVt+nd+zwh7jwX4j4x/BrAsiye\nGvh9wloSTTGYd8dxPYee5EFMu0pTszECcTQ1yEz5Epn2AyiKhh2SWJo9R7pzP7KiUbYWAYGWGaIi\nuWTP/4iOx36XoGfR1CMUR08Q2/7AakWQ60F99gKB7t0oAX3V/JiVLNVrnxN79NvIkgdiZecpY1Yb\nWAuThLY/wpblqKd+4HsKffu2uOOvp+rIM2vUrn5EcMcjCKtOc/ICweGHqV//GC3djZrooTl1gci+\nZ1CFiebZuK6HvTyJ4uXwHJvazCjxXQ9QnbyOFo6h73gCgYKirQv1IINno1tZFkeuIukR5FAKKzdH\nePcTyEYESQ3gh58kJFw8oeJWcn4yf+QEoe1H8Zo11FT3LdVPW8HFN+r6PTyrVtez52Jlb2J0DSGw\n8b2BlTJNFwm31ZkuUbv+GUbPfpRwbPUskrBYCVFp1RvkT7xB+yPfIMDGMsuVnbkjBzDzczQmzxPr\n30tt/DTRwUdQEp3InoOt6GiuhXAsGsVpypOXiex7htr1TwgEQ0jpfmpjZ4kdeYH6+TdR4xmi+4+D\nYyGyF7GlEGr3QwhJan0GJZBkVKeGYZduIwWrWsCpV5C1AGY5RyjTi1lcxGnUMFKdhPT0lkb5bhBC\nUG1kCcTbVj0Lp1lj6cKHdD78Ilpzq9d5ZK98iBHLkEnv2fL8pcWb6ME4YSl+T+W+94nh1wAvDv6v\n/iBwWWXenaAtOowq6zR1h7HZ99nR9zyKorNQv4miBEimhik6WXLZywzs/Abg14LHMsMY3bvJKTbC\nqhOIZZD0IK5jkT/5d6SOf6+lkOPhuR5LH/0VHU++jNCSqwlJR1g0Jq8QHDyIrEooUhVXRBBomMVJ\nrGyO0M4VmeXbd8L1mycJbnvw56aIKoRAOBbFD/8HwYFDGAMHyb/zJ0SPfJPqxZ8S3HbE7+GYvkzi\nyCt+GMgzUYRzx7iz5zrY1QJWOETh2kUC7QMIq465NEvs0HOYY58S7N6GaD/cunMPr7qEFJApnf8Q\nIRRC2x6gMXGR4I6jaImu1pld/N26jJ2fx5y9gtF/gMr5n2L07kNNdiEHQq2Q3Prwkbf6unt8MgA0\nxk6CYhMaeBifqLRWoafbyk74ROOZTSpnXiP2yO+0qqZaa4SNIpoE3SW/I7mwSGXsCh17j2/4m946\nttKVVKymidQoYM5dwy4tET70MpVzrxPK9BHs3UOzlkOKdFI59wbBzn7k5BByOE7A0JBblVdWaYnC\nqTcZfOh5ZE2/J3E712zgORaFG2dJd+9HkhWsehkj1oZZzSMrGsFExz0+x61Rd0vkr5+i88Fv4DRr\n1LKTxOODG7yqDddlN2mWlpBVnZjevukagFpxjmp+mu7Oh+66YbCaFUqNWa599Kf3ieFXGS8P/fHq\nf885Y+hqmHRkkBIFBB6RkP+BHl36hIGBp5FlhZpSpVnLE0sNIDyXpeIIic5dKKrOvFSnfPMU7Ue/\nhSQrCM+jvHCNYKaPoCZhqxFcScHKjaHqglAshiPp2HKSZm6c6pVPSD31e/5UK6mAIq99CRc//4jw\nwe/4IYgN6p7+h7k5dRGnkiOy7+mv8QmtvIfAWpqgev4tYke/hRxO0Rw/g2xEsJenMfr3YS1OYi9c\np/PxZwk2fdE2R9YpL2dpZCcI9+6mdu1DYl1D2PUynm2S3PEAwnVQjPDql/JWY6TaFexKgapl4SkG\njbEzhHY+iqwH0WJJUFoNgMLGadoIx6YxcQ63tEj0wW/iVpfR2odaw4rW3ZnrYC9P0py+TGjn437n\ndaKd8N4nQQm0DPbGJPOdn5NvA6oX3yJy4OlWElbCDyut9xiU1dfUrn2MlR0j/uhvIWlBNFFH8wqo\nYu3v3swtIMkK5RsXQJJI7H6AatkikB5CC/g9DrYS9KuA8NDchv8chcLSR39FsGsIuzCHnurG2PEY\niuyTnoeKhIuCvfpeZm4eI9xGyN18jItwXczSEgCBRIbG8iyl8Ut07nxyU/2krxv55RGEY2MWF+ne\n/cyW6zzHZub0j+jf8fyW1+U6NjOXf0LPnmcx3LvPnLACgrmr79C18zgn//G/3CeGX1WskIInPMab\n51vDdXz9mansZ6sDUJatWQJGjFAow2J1hEZ1iZ7h45iBABOTHxDdcxzDiFGfPIHUsw/NiCBLEsJ1\nWPjsb2g79rtIephwM+uXDp59k8Tehwkk1iqFalYNuwFaZhBZclGk6iopCNdh6ewJIg98G7wQfsx6\nPSScUhbhuVvIW3wV+MTQmPwcLd2FEu7EXpwEWcYpLqJl+mlOXURWDfSeXciOhSjOEBBNauPniW87\niHAdwkZmQ+epEAK7XkbEDPLXTyFrAQKxNioz10lsO4hVLaLoQcKdfgKwaWTwJAUkCUcxEJ5Hffw0\n1vIsoZ1HMcdOEhw+iprsac2n8MnMsy0ao6eQFBkhPITjENrxKLIeYGOupRUOchys7Cj1myeJ7Hsa\nuzCNltm+zgPZai7EGklbi2O4lSVCw0eQaeASYiXH4K8JsOaZiNU+jPLJfyTSmyHauxdPTbTmOdgo\norqBKEzbo5wtIxshnPwsTn6GyKGXKJ9/CzWapm2v3zviCUEjt4BEk8bCJJGhfVSvvIeqyESH9pC/\nfgG99xCSBJ7dAE/gWiYdwwc2zR0Iz2X2k3+ibf8T2LUytblROh76BlrzF6upVXdLhJTb9ZhWUJy+\nghoIkQj3b+kBmPUSdrOMZsQIS3fuoPc8h8mJ94i3DxPL+Mq0v1TzGL4ofp2JYYUUhBAsilnCgRTh\nQJqsNYGqGCRjA9hOkxsL7zK8/RUURWO5MUEokkE3YlSFyVzpJql9zyF5HrXiJM3cDPG9x/GQcT0H\nq5RFNkLo0SSqZxO08lScOlbdQu/atfqlt+ozFM5+TvLp74IUQMJeJQYhBMUb51DbD6LEe8BdMa4r\n4QeBZzUovv/fST77B0jK1yc85j8fj+b4WbxmheCOBzGnR7ALcwR691K7+A7Rh79N/er7yIEIRv8e\nrMkLRDKDGMkuIrXcl35fs5KjbuUxkp3krn6K1LkHSQIzO07s4PN4WhgpFANUVLeKqBVootCcuYpd\nyBJ74FWccha9fbj1TDyEJ3AKs8jhJJVTP0SJZzD69iFpBmo0hoRYzQGsVBPZy5NYywto6X7qVz/A\nGDiAUy3g5OeIHH6JytkfoyU6CfTswbNNlHCCxo0TRA6+gKSqgIlPCHrrr7XiQdxKSh7gIAmL2rXT\nmNkR0k9+GwUdFxUZh5UGOw+1RX4rkFqdyRIIl8aVn5HYeeye+ggcWadheVi1Mm4zT6K9D1263ZbV\nl2dxmzXiyW1fOk/w84YQHnajSmXhJp2dR7ZcV1meoDB3hcHh55HlO+cTKk4Oz7VR1ABGZK3x8T4x\n/ApihRRsz+RG7SS7Op9DlhQsAxbz1+jOHMKya9SUOoaRRNNCzBUvIksKbd0HsA2Yyl4luuNxVEWj\nOH2aYNsASrwdR1ZwkMm//99IHvvXyMH4asNS/sJPULv2EerdyVoyOQd2ETXtC5X5UmoGoOJUFqmc\n+QFtL76McFJ4bisMIXyJDPCJzVq4iZbua2kqfX1oTl2kcfMkiWf+Z2pX3sOrlzAGDlK//gmRB1+l\nfOIHhLY9jNG/n/KpH5B44FU0q47suXiyujp0ZgWO2WDx6ocEk10I4dEozJPZ+SjLNz8nnO4lnOlH\nCA81EL5tp7fS2CW5Nq4iKF74GSg6WucOvOI8kYG9eOEMrmLgk6VJc/JMKxKkYedniOx/EjmYXBfT\n96feNW6ewBjYT33kU5RoO6Gdj/v9hlqAtVLT9f0L60N4fsWYWy3TnL2K0bsHJZxio8H3VsttTa+L\ntRGht1aL2avvJTwHOzdF/donGP2HEAiC3UNISgCQkYSJkPQWJcBKw50smlTO/5Rgz24Cyb6vRW8I\nIHv6bbr3PHNPiqPCc38BU/82wrWbzJ79Ce27HieqbT6fWgjB0sTnpHr2Y7h3n7FQcXLkpi/Qvfvp\n28jwPjH8CuLloT/GdptUtRohPY2uBpmsnCMczJCKb6MiV5me/ojh4ZeQZY2Z3Od09j3sx3mtRfKz\nlwkf/7fIjoNtl6mMfU5y/7MIoKkEcAtTSOEkSiTlq2a6Nk55Gs9qEugcXu16tRoFCp+9TvKZ30dR\nPFwUaIUdPKuONT+C3rMdWVX8skaxUgLpN30BVM7+GL1jO4HuXV/b83HrJRrjZzF694IexJq+hN49\njFev4Fk19I4dWPM30NIr6qJgL94kICsYoTieJIPnokxfBEmiUZinVskRe+CbyEpwteMWoBmOYCMQ\nlRyKU6Y2eZFwpp9GYR6rVvKJ48ZnhHr3IQ094MtUCw8hyQhZQW2WqFVLSIZBdfRzbEcQPfIKXrOM\nmuj08wqShNusoEgOxVOvo4QTBHp245kNAl3bfR0nAQgHt15FeDa1y+8R6N2JUy6ghJIYg4date/O\nau5AwkWWHDxhtBoP1xv79X0iKxVOvlH34a1bu/LTT1bfHq4SmHMj1G+cIPnkd5FwkRB+WbOktzwD\ngerlQQr4WYOFm8TiaTThfOXPQyM3hx5NEdjCmNqqTs1xqc5dJ9jWR+6jv2T7U9/z79KxKU5dRI+k\niHXdXmr6daBZWvTnpxNFu00d14cQgsLcZbRAZFMl2vVw7CaT4+/QvfuZLc93nxh+xfDy0B9T05tM\nLp9kZ8tTqGtNTKtCItpHUeSRJQUjmESWVRbKVwgEE0QTfVi6R3lplHjHDirJDKWFqyiKQqhllF0h\nyJ74e5IHnyYQX6uCWDr9GqGBwwQ6h5BwECjYpo1dWUZLdyOpYXxD4bu1bq1A6ZO/Jfnc/4Ikr0gv\nrDc0vnFxSot++eCmiqBfPO4rPBevXqZ29QPCe58CSaJy7k2iR17BKUxjLU0RO/As5VP/SHDoAQKp\n/tXe3ublt1CNMJHeQwhZIVBeoHD5fTq6jkC0jVo8uTq7WMgyrqrhCQ/VMpElGUfVcDUdxXHQ7OYG\nqQbPdWjIVSrlZcrLs8T2P4u1OEY82UlIN7BVHTMQxZNVbM3ANhs0xk6iRFK+JEezTuTAcygyCNVX\nQvUaZcz5qyixDpoTFxCuQ/TBVwDZVwIV/o5fOAIzex010Un13E/Q2vqRDQNr5jLR/UdR5AZeaDuS\ntl7Rdn3CeoUUjHXHV/5GK3Ikyrr/X/nbLtGcuojeuYPm1AWE3SR29NtIkowkLCQkVFFrncmX8w54\nayGjRnaaxuIs7Ts2ynR/Gcx9+hp9h17Z1FvIL45TyE6Q3P8cUqOBEkpgeQ2U3CSNuRGSAweIKCny\n5TFi3bu+dun0RjFLYeI8/duf3dJLadbyLNz8mOEdr9z1/UvmAkJ4BIKJOybT7xPDrxBeHvpjKmoV\nkAjpfsfySOFj2pN7iEd6KFFgMXuBwSFfL2ds9j36d/gfONuqMTH6MwaP/CaSJFGLqCyMnye57xkk\n4eEJaJbnkQNBtGgaueUV1HMTyEYMPearnrqShiM08u/8KYnj/w7FiLJ+5+jZJk5+BnVFgntD9dHa\nZ0y4LoV3/5Tkc3/4tXzZ3FqR0qd/Q+TwyyAEtSvvET38Emq8A+GY2IVZtFQ3orqEImz0YAKBjGs2\nqJx/k+QDr4BkIHsOAbOCKC+RHz9H39Bxyok0nqwge57fJGXWyF55G6NzO5plUc9NET7yMuWLb6Ma\nUaKZQSpT5+lo303EiN3mxgshKDXnMCs59HCS0vRlkoOHUI0wRNuoRzJ4soqQJCQhsOtFUDUqTqNV\ngQAAIABJREFUZ15HS3Yix9rBtQl1DqCoBo4SwLMdXLNG9dLbGF3bEWYVAnGM/n2+fIbAF87Dr+lX\nRQPVzVOdOIlda6L1P0b1yqd+rsFqYC9NETn8PLVzryOFMhi9e2iMfo4xeAQ7N41TWCBy5CW/EirZ\njRpL05y8QOzR36YxesaXFg+EUYIxJN1AWo37yyAcf7Bra660QL6tkgnALCxiqPG7SkncCcLzMEvL\nm47AFJ5LwfUIRLuRvXWd2LKM7LnEims5Js91mLr5Dj1HXvzS17LhvYVH9vL7pIcfIiS2NuCNyhJ2\ns0Ii2HvX/oRs7jJ2s0LH8GN3/U7dJ4ZfEbw89MeUlDKL5esMtz+JJ1xK5AgGkgT0KIvNCUKhDAEj\ngSRJ5M1pfw5uvAfPtSmZWdRUL3YyQ62+RHPuOukdD+OqBp6ssvzZ35DafhAjtaYZkz/7IwLtgwQH\nDqJ5BQDqcifW4gRaqqs1N2GNFITwKLz7Z8SP/hZKZL189npvoVXSWS0gbBMt2cVXgWc1KJ/4PpHD\nL+E5JtXTPyJ+/HtUTv0AJZxES/fSGD9N/PDThAIu2ff+gfYnfx+hGni1PNbEWdLpoQ0VR3ajQmX+\nJm1te1DUAIW2TmTH1/fJnvw70gdfxo6mkRSVULVKMxRaNeJClglWqziegxAm1uX3MWsFOoYfpZqb\nJJbZdps8shACITyWli/TLC4Q2/kY+bkRQoNHMOLtBMwKwKpX4dkN6kujBFI9lC++g6bKhPc8ha36\n/QzSSjVTdgI13UPl9GskHv9tJDXISriocfLPUWSJcO92qlMjGL07sWwFu2ljDB7Byt5AMwJokQSm\nKaFEEkiyn3SWNkg/CFqDCHBqOX9mt6xQOfMm8aPfbh0HpFboSfid8bKwQZI3rVpagWs2WDr5M3of\n3kx5985YKRleOvkabQdeILhJZ3Vu7Ax2916M9u0IWUbyPFTL8nNMqkpyeWHD+sWlS0QyA2ihGF8F\nrm3SLC0iSRLx4NYyGYvjp0AIurvubL+tZpn5hdN07763HArcJ4ZfWlydL/HmpSyzxQbv/fkHmKOf\nkxZxAqq/u7iWe4+BzscwAnHqmsn8/BkGBp4CYGrpJKn2XRihFMJzuTnyOh0HX8Hs6EPIHqXL7xHb\n8ySoOsF6nkZxHD2SQA3653ZkneW5MYzBh0HVULwGmiihCovpUycIDh4h0LObW+UW3GoBt1FCzwze\n4c4EzZlrOPlZIgefv8O6O0MIgTl9CTkQQg4lsRfHkKNpzNmrBDq2oab6kBUVSVFQRRXVLUA1j+eY\nhI0Mi+feQw1FaO97cMM558+/RSjVTaZtret6xWMQZp363FXiPYdphP3YbbBWoxGJgOdBixyMet0P\nrKgq6fn51rk9ymYW1zGJZbbd9f5ss0ZTaVKZv0Fm162qp7c/i5ymU7lxEr1nL0bXDkDgyQE/P1Ga\nw6sX0FLdSHoYSbjo5au4jRrhYDuu3URSVFyzgWvWURJdlIqLoAZRghFq87PoHdsw567hVnK+htT5\nN1GTXQQ6Bgik2vEkAwGUPv4bEk/+HsK1aUxcJDT0IH4oyi84kEWVwCbewVaoTo0Q6t6G7tz78J6V\n5jlXCMqXPyR24BsIIFRbJrhuvOjixAWUQ/4ITKn19xOShGqZaI61wWNYQXbhHPG+vV/ai2mWFlm8\n+hGDe17Z8hyuY5GbOke6/wgB+85J8DoVKrkpEp07UdR7v6ZfmpnP97GGq/Ml/usH45QaNl1xg4q1\nTCEuQ6oDTzgsWGPs7H8BIxCnLJWo1RZXSaGhmWh62CcFIaiJEp3bH8dJd+I1quROfJ/k3uMokoTk\nuSxOX8SqFlZJASA/cQYkBVVxkEUTTzaoNgyyN28Qf/S3CPSsaP2sbSaqF9/GnL9+F1LwXXuvUSJ8\n4Nkv9WyE52IXF6hdfBu7uIBr1mmMnvCNsiyjRtPUrn6EW5qjcuaHlD/7W0RuhPynP8IsLBI2MtSX\nZ0nve2wDKTQK85RmrtKx76kNpABg1KoIWaY0fopYz2E/1OA4yI6D19pprih9aqafVxCyjGKvNV5J\nkkzc6KKYHbmn+9QCYYJeCNfeQithHSRJwgjEaDvwApJZoXzmdSRk8BwQAjXShhbvIv/+X+LWyqhe\nES0co5Gdprg0gmqEUbQAeiRBMN2Nrkhk0h1k4jGCkTaiux9DbxsgeugFEk98BzWaIvHEd4kMHaR5\n5V1UbBRR91vOQkEkLGTFxV64gltfREJCFha6u0DYzd4zKQBE+neSO/s+nnvvSWhbjeAB1bFzfrOk\n8EBAPdyGrfoSH2YlD8keNNv2tzYtUgdwNX21uOBWJGJDLI+cuOdrWY/S7DUkRWXb/t/YkhSE8Fia\nOEVbcuddSWFy4j0qyxOkew98IVL4Ivhis/Tu4+eKNy9liQc14kGN/+e//J9E0jsI9j9O2bKpTL9L\nV+awL0kcVFiYOMvg4HN4nsv08ilCkQyZ7oPYVp3J8Xdo63+ASKqXUrOAtTRB8uDzvm7LwlWswgKR\nXY8Tk+qr9eClsTOE9z6FFAhiSwqg4Tl1atc/InLoWSRFYa3z1Z9f4JaX0Nr6CXTt5PZ8wppHUTn3\nE9xqjsQT3/1Sz8WzmxQ/+AtCu58gOPwQlTM/Rtgmge6dVC/+DK2tH6NvP4EuE9l1SB16Hk/1S2CT\nR4dQGjlq5RKF2UlSnUewPQe9WUaulyjP36Sn/3Ek+/Y9km6bWHOj4Fh4qopi2ySK/uyARjSK7DgI\nXUdtNpFdF0+W8RSFcHHjfAHPtTfUkt8NdlAis+v2sZSbIWBWaIRSRLv2IEuguA0USQa7iatGEEaU\n9JPfxSuNIjVcSKRJ7juKVcpTay4TNjYvkfRkDd1rYOPhKetyRsJDdivE9vviizICxauS2j+EVz6H\nnspgPPEIzcVrhLWer5RHig0fIL84Rnjg0XsaiuPJGp6s0Zy9TnT4KNCSIEHBDETRnBxLNz4j9sh3\nUR0bWXg4mo6QFSTPRXG9TWc8AARCcdLbH6KemyWU3joMdCuK01fwHJOIfOuEwnVrsiM0Sln6+o7d\n8VwVJ0e9tEDnjidQVP2Oa2/Fws1P0ENbN9fdivsew78gzBYbRA2fqyNtu1HUALnR91jOX2Sw+0lk\nSeH6/M+oVufYtu0F8uYUFQok2rYTT29jevpjLNWmb9+LBHr7mLzxNtbSOJHhh6gv3qBRnEZSVGIH\nnkORJRZufs7y7BiNwgzhbQfAiGEVCziVPIUP/hxrcYLYw99C1sNImAjXoX7zc+xilvLJ7yM8dx0p\nrFSngHBsnEqOwvv/ncbEOSIHnv1SpODZJqUT38cpZkk88W+pXX4XACWaQQkn/WatfU9j9O718x7C\nQTJiVMYvUPj4r7GqeZZPvEZuegIrlCF16BVkz0FIMjPn36Zu1ukdfGJLKWMAzTbZFt9Len6exPIy\nAdMkYJoklpdpn50lNTeHZvnEIbsu0VyOgLnRuNSpkuzcfc/3nR87jbeFgbrt+hyLYD2PJDyC7bso\nnv4RAatA2C4Ra8wSr02ScHIkjSj5Cx9jFnxZCC2WIH/uI+za5hISsmcjkNE9E8Mu+YqkThVZuFSu\nn0JNZBCtBLIiqmiOTvnKOQA/PNWoUZq7es/3vBmUdC8i3EWzXkASDp6kYOpJHHlzoyh7Np5pknjk\nW6u/E0hIwu9PAWjfdQxN8r08xXUJNBsY9Sq6ZaLdxUszHIPlmyfvyYtxrAazZ94g3rubjo7Dm64R\nQlAvzSMr2h1JQQiBqVoU56+R7N57z6RgNcpMXXqT8tI4ne2HaU9uLcZ3K+7nGP4F4f9+a4RSwyYe\n9JN8f/H/vkW5PkM03k/twhu0te1DVf1GqJKziGVWaOs6QKk5j+fZaHqYQDjF7NQnBOMdxHp2UfFq\nNAnglJeJDB2gWZqncvUzUgcfwnFUtFQPZmkGYZvU5xeQZM0foymvNKJ5WNmbeM1FhKn44mU9e9Yl\nu/wRlebMZWQjgjl7FbdRIX70t1pTy75Yw5AQHvVrH2MtjRM98ipeo4yW7sPOz6KE45jTlzEGDtCc\nuEhwx2N+b4UkUzn3BqoRIrTzCWTPXbkydKuOqYcBQcCq++/heTTys0TivZvGk9dj8sKPGd7x8h3X\n3A3TM5/Q1ndoy9m8tyK7eIHU4KEv9V5zIx+Q2f9Ey8PbCCE86mYep1ok3Lsdz7Ywi0uEjcxtQ+9v\nFbtbERKU7QpLp9/wmyBvSSDXKnMYHd2t9xKYi/OEo/cudeJIOq4UWZXU8CQFYVvkP/57Op74PeDO\n09UcWWf2wqdE9z2HFoz43dqShOKYKK5NpJZj9uybdO//jdvKkDcbM7oZGkoD12oQiG7tATpmndrS\nFPFw75b9BABTF98g2b2XZKhvyzWuYzI+9jbp3kNE03fuY1hBaXGU4sJ1enY/jWbKG4jkXtVV74eS\n/gXhpf0d/NcPxgGIGiquplJZvgELY6ST2zGMOLP5c1jNEr3bn8EJysyOfopmREn17CdXHMF2IdG3\nl/+fvfeMsey80zt/74k3h8qxu0Ln3E12YqZIUaLiaIY7yZN2ZmxgF8YusNgPBmxjFwa8BvbTGl4s\nFvbCkyxrpJnRaCRRFLNINtmZnXN1V1eON8cT3/1wK92u2GRrYEn9AIW6de4Jb917zvt//+l5ArFm\nUpPXsLLTJA68TJEo2VsnMVo2kTjydaSqUR68jKEo2OMDhLc9QbR1P/PhourwVSr3LxA98GXc7DTB\n3kMoZoilIaLqyDWs8dsE+w4hXRct0YHR0stG9ADc3DTCDFE4/2MUI0igZz/lmycI9Bwk2HuQ8M5n\n8a0SQlFJv/ufiD35dYTuYU/dRg1G0Bvba3QLjkV57AbB/sMYoQTIWketEAJ1bgVYqxxavHb68ls0\n7Hippg62BjzXJtm+8ZX+aog2bt6wUQCWyTE+DDq2PUdmcoBo59Zl7wmhEDIbmbp3HS2SwEw0oYWi\njJ39CV1Hv1FX2aL5NtiZeoZSJ4ddnaLtiWMo3tSy81uzk6iBAHq8ocbdlZlFeh6RxOoT3zzmCRlr\nPfQuUqh4IoSTGiTSv7jiFvj4ysqfj+bbhGJxnPwkTtkg2LgJ1a3pVM9XeAUTbeh2lXAus6AQp7oO\ngUJuXaMAEPSCjI6eJ9a2heAKlXXZkeuU0+O1/oRVwmjVYopSdpyevpfXpOnIlEdQVIPOHV9Y08DA\nnG7D0PlajirWRt+WVxCe8pln+Mcew39jWFqV1JkI8vf/+q+Zyl7AFhaaEaK16wmEojAy8gl6IELz\n5kOUlRJWfganWiLRvZvMzE0q6UlaDryIb1epyhLl8ftEdh7Dcgzs3DhOdhIt2YPRsR2BhWe5SE8h\nf/YfMDu2Y7T2o0YbltzcNSEdNzVG8foHNZ1gz8Vo2/KAROVSCujFiUZKiTM9iJOZqIUaCrOEdj6L\nEogihEC6Dr5VonLvHGqsCa8wi1fMEH3iqwhNQHUCe3yQwOYjZE78DU3HfwMEpE7+PZG9LxMIxhDS\nx9UCCEBzq6hznsODHkPq05/QuP9ry2rWH8T0vTO0tx3acCngahgdPUnb1rXjxwufk+8zdOedz1U3\nP3Llp7QceBHVWJ15s1SZoTw+SHL3EZxCFt+xCYdWp3iex+iZH9L69FdX9EicQpbc1BDh3S/WuJu8\nCqVr79G8vX6B+qBnoMoinogsULj7tkXx9hm0zj3Y0/dJ9uxduMc2wqPkoDJx7h2ajv3WQn/KfMlq\nfvw2DfEtnyv3IX2PXHWcUENXnWedHb5akyhdoz9B+h4Ttz+iq/upVfmOpPQpumly0wPr9ibYlRzT\ng+do3nwQz7XXpOmGx3oMv1R4+sD/zJ2JD2jpeQI/oKIZYXQzjBlOMjF+DqdSoG3Pi5TdDHZuFi0U\nJdDQTsVOk75yksQTX8STQWwlSOnqh4T3vYQWSeJVcviVMtboTbxShuiT30Coel34xytlFzqJFT1A\nZP8rCM1YM0QkfZfSjQ9Rww345TzW5B2Mtm341QJudpLA5r0IVccavU549wuUb32M0AzCu5/Hr+Yx\nEhF0JYefm6A0dJdw71ZyV87TvPtZ7HwataETazZPNTNFsv9o3YPvaAaVUAPC9xYoKDxVRwKa51Cd\nuI3RuAlVC60ZOpBSMnLlDfq2fvlzfXdS+twffI/u3a9saH/f96iIAkZ49WTleqhSK81cWnG2EtJj\nVwk0d6JHExSHbuIW8zRvObrq/o7pU5kaITTHHPvgBF8YPENoW00PfIFTa3ocVTPQ4y21HgZp4SsR\n5rWj5xvdPClwJ2/hWVXcahWjpQ892YEUGoZb5GH0mAHsYnZFJtOxCz+lZ/vnb1YrOLPkx2/RsvMZ\nAKZvnCDS2kc8sHJ/jpSSyTsnCESbaE6sTgNjVXMMD/6Mrt1fQjdDq+5XTI9Qzk8SirURVhPoxtoe\nxTweG4ZfInx5779ktHyTrJzG8itsOfLbzKZv4laLNPY/UevyVKtkbp+nac8zlK0U6cuf0PrUq8hA\nnNzEBOWRO8QOv4ZiBPHKOfxqgfLtk4R2PLNETL62MrHGb+HmZ1HDCeyJO4R3v4AaTmxorPbMECCR\nnouWaKF67wLCCKDoQYyunQjpU757DqGq6I3deIUUelMn1vgV/OmbJA8cInvhFIG2LozGFjRHw4g3\n4nsudmaWzO1LNBz5LfK3TpHYcoyAXVrWwLSUamJ+xQiQL+bI379E276v1FFXrPh/VPKomonpfj7W\nV9ep4gYE2gaJAqemLxNMtBJc+E4+G4Yv/YS2J19ZU1weoFiaJHfrIi3HX8HJZ0BCKLBy/Hz8wps0\nH3sFIURd6Ad8ivcv43kKkW0HUUStXFdKFceS5M/+kObjXwMUXBFEkVatGU8YeI5D8cq7BHsP4kzd\nIdR/fM47kHOGQKC5ZYRQ1q1KWoqJMz+le+9yA1DJTq27qt4opiYvEky2kxu/RXfvc6vu57kW1WLN\nM42bq3+vqfxdjGAcIxRfsQxV+h7psasEY61UCtM0J3c+NGPsRg3D46qkXwD89Mq/pa1xN6YSBSEY\nHzmNIyWBA68y7TkMXnsfVxg07jrO7OB5FN2g/flvUszPMnHyXfTuQySe/j0UI0B54AzFy2+hhhuI\nH3ttjq+/njHTK2UIbNpDoHs3sSO/tmGj4JVzNTrnxm7Mtj4UPYCTGia05TCBzXvJnfiv+HYJPd5K\noK0fVVVAllDcFMHGTSSf+Baq0kTT7mcwtBjFy5dq9OKn3yZz+SRKsp3k8d8nd/0jEv3HQNGohBoW\natTnobs2kVKKWGGKSCmF7to4M0OErQJbu48Qy6bWjSdPDnyCbn9+yo7Z7G3sSnb9HefgVouY0ZVL\nSB8GDdsPY2Wn190vEm4jvm0fdmYWLRIne/McxeLksv0sKuixxdCiJyJz+QAfKzuG0dxJeNsx/CVB\nbR8DxQwQ3f8yrjO/6hd4IoSrRPCFiVsqokZb0BJdhLY/D6qOmCt9FgI0z0KVHuHqFEE7vWHG1WDT\nyknv3Oj1DR2/EbS2HaCSm6Jr8zOr7uM5FkOXXycow2sahanZK7h2mWCsZZlRcO0KM0OfUsyMYQTj\nxIwWWhv3/FxpxB8bhl8QvHPm3+CXC2xqPEx+7A6zw9eY+PjbmMlWGp/7J1QDMWaGrhDt24URa8DS\nVap5n/izv48Q8zz6gkD37hqf0QOJ5KVwc9MowY0nS+ehhuJED7xaY1QFUG0iB75EjZDNw2jpRQ3G\nMZtbUawMhUtvIbQYxbu3yV35ALtSYfrcR5TSKULBJtr2foGQnqRtz4uYRoz0pfNUMlNgxnDNcC2p\n7HtY5tpjda0yqbvniGiNG44tx5p71+W83whUzSAQ3fgKNd61i9Td8/hz+ZHPikigmUp6Aumtf55I\npAOhakx++EMaDz4HSNxKfaNXeWKQ5O7DC3/7oqYVUZkdpHT3EmqkcU6zwcCTQeQSinUlECb90fcp\npSdAaCDm3xM1ahShYE3fQ0pRMx5CQSDRvGqtOmmVZPNaUHVzxbJS+Tk/1wfR2rJv1XLn7OQtKoUp\ntu74BsYqxQcFZ5bBu2/T2L2fxu76SrRKYYZiZpTUyCUaoj0kQ13rMqw+Kjw2DL9A6O96EdMW+GoA\nPRhFjyRRNZ3ZE9/GzU4S3f8l9DmRdl82YU0M4uVn6s6hmGG83AxuYfWka6B7D5WBs59pjL5Vpnzj\nQ0DgV0uUb55g3igpARPFL6EiQTeJHf4NAq1bSOx9iYanfgc12k5i7xepjI1TGL1DcewOUxfewS0X\nMGPdRA5+DbNhE5HtTyOFgqsH8YVYqFGHWhipGG4kH22lGG6kVC1RTo/Tu3Nlls2VkJu6QyDy+Vft\nUMsxPMzKLqIkCDd1U5oZqjVHPUTn74MIJNvI3r24oX1DZgMdB17Bzs6iGCbjF97EnwvRlaqz2A8k\n6X27yvRH30dJ9BI78hq+EmG+6ECi4BGY+0tB1SH58h+jxjaTPfk9vHKepV5qcMsR7KkB3GIKpZLD\ncEuovo2nGNhaBE9oq/YurAarkMatluq2SSlp6F1dCOdRQUqJXcktkOCtdN9JKclZU1iVLF27Xq7f\nPj1AJT9NfnqAqNZEZ8cRzODGvPbVxjM9eoHU5LUNH/PYMPwC4Z0z/4ZU7h7NT75GpGk7pbuXmHr/\nr2h46tdASLwlbrwUQZLP/g7SrWJP3as7T/TwN3HSo3iVlZubjNY+zM4dFK/97IF31s9HBbp3ozf3\nIKWLdDWM9vlEm4c1egtQUPwiuYvvgxZACgUfUQsfSEk1P4tTzmMmmolGu+ja/QohLYFo3YIyp31c\nm1Jq+3uaieLXJs/5xLMUCorv4gOTd84QTm59qMqi3PQAYWXjXaJroZgefehj4oF2GqK9GJEkMzc/\nwS5lP5OBiEU6CTZ1IpcwiK4FLRghFGxm9vzPaDr0PAW7SFlPYGkthPa9iitqk3PZq2JlJog+8VXs\n2THyF97FLeTJfvQ9Cpd+glfJ1FTZgJpGcxREFMUMEz30VayJW9ipYWr5TYEQgui+l1AUhdkzP6CU\nncJRA/jUPAch3TUb21ZCvGf3sqosz6mSGbqy4XN8FniOxdClH+G5Nu2th1bd7/69d3DtEonWbQhF\nxXMdyrlJZu6fxfccIlojnR1HH7rDeSkcu8To3Q8o5SeIxDtojW689PqxYfgFw+XbP6A8cI7yxC2M\nWAsSsMfvgw+Fi28t7CeFQKgaRqKV4tX38K3ywntCCMzWfvJn/n7V66ihONK1cPMz1Kt/bQSS4sW3\n0SKN+OUsTnocUAnvfAYpdBy1ETXRBr5TIzBT9AXjYHbsoO353yXY2EF68jpjN9/DUi08oaK61dr+\nc+OQUNNQWMJCKnwPRfr4Voni7VO0Hf5N7NjGK3w816Zty1Ofu0QVat5Ca/9n1xWIm2109T6L51iM\nXXjjMxkI16qQG9z4ZKgaAbqP/hrVYoliusjEB9+hMHABz0xiKU3k0uOkT5/AaGnHmb6LEmoguPUY\naiRJ4tnfIbr/VezJIdLv/TnSr0l6LkKgBiKEthyuaXd8/F/nbikFhI4WDtD+3Kuo8TbSH/wVfimN\n6lXRpAvSx9HWrrJaivLUMHYpU7/R94m09Gz4HA+LanGWainFpp7niWorJ/AzpWGmZq/QteuLxFu2\nYFdy2JUcYzfeQQiFjrYnaU58Pv2HUmGKkYGf4TpV2pP7SGitxJSH84AfG4ZfMJimSYvaTKB1Ky0H\nfx1h+2Svn0A1YyR37qc4VCNrU/0KoCCFTvL538dJjcyt0Go/SiBE4tnfpTp0idU8gej+L+EVZqkO\nXWFlIfmVYTT3oARjSN8j2H+U8p1aWKp45T0828aXoIViKOqiVKUUam2FKCW6W0QIQePOo7QefAk7\nn2L2k29jF6ZQrWJNFlIoNRViu7xQleQrGkLWJqLstQ+IdexF+P66jWxLkR67imOV1t9xI+cq3qda\nnP3c54kZLfTt+hqqEWDswhtkRzaeQE0ketAjCVarPpS+j1MukB6/RrE0xfStTxi/+CYke/DKRSK7\nniW27yUEULh9BhnbRez5f0r2/Eeo0Q70ZAdapGHOkNZ+gr2HSbz4JzizI2Q+/Hat5HkBNX8vuHk/\n8Wd+l8q9TylceL0uFyKMEImnXsMpTFMeu46Ucs3GtpXgWmW0BwRrnEqhpn3xc0A5N8n0/XNE9WaM\nFXJeUvqUKVItpmjo2odrl0iPX2N2+AKma9C35UurSntuBFL6pKdukp0dwK7m2NRyjCgJTPOzUYU/\nNgy/gLh47j8QmcqQufQGejiJEUySP/cDgi64lSL5e9fQZQ4hbUBBKDq+U6F0/X1YqB+XCEXDyYxT\nHb2ysO1B3iOzcyf29CBy2Up17RVNeMczFD59HTc3RfTQ16jc/ZTYkW9hT99DET7VoUv41SJiQcKx\nNtGbdmpZ5UmwqZPO419DjzUzc/K7WMPn0e0ymmcTXFLxM8+DBBDpO4RlZWqcOK7DRqGbYWJG64b3\nXwtOtUAo/vl0J5Yi4Jj07foasY5tTN/8hJnbp1ad8B9EYfjmwutiYZxicZyxT99g5t4ZHNVGC0XR\nowka9j9F61Ovosa6iB36EoGuHQjdoHT3LEowjl+1KF54g/jR38Bo6aNe5nP+R0EIFaOlj/jR30R6\nLoULP1mW+BVCEOw7iNm1EyczQmVyCEdJAhLFCGB2bMdXg6QuvY2nChR/499juLVnmZJZOTOOWn60\nyWcpJRO3P0QPROnrf2XFfJLrVBi4+SMcq0hD5x6Gr7xBITVES3InmzY997kYUj3XZmLoNJVSCqGo\nNAZ6aA71o36O7nl4bBh+YdEe7iFU9uhRumjU4wjfIzd4haaeQ4Q7+6gMXsb0UyjSBTyC3XsIdO18\nIOnsEtn/RdRwA052ggWjIeon5tjhb1K69v6qOYnVED30VezpQRTdxJ66h/Q81Eic4vX3aHrmW3jp\n+8hSFiF9VN8iXJ0k4K68Wtd8m4BXoPXZ30Jv6KY0doVgOV3Xw2BaBaSi4gsFPdZM5vqRbNbRAAAg\nAElEQVQH+EKsSqX8IByrhO85j0zGMRBpXpfK4LPAtFQ6Nx0n1r6VcnqMmdun1gwxxaLdWLnFIoSA\nkSR/5wqtT71Kw55jGPFGQm2bUI3FCUrOfQaVidtkPv4ewa1PY7RuxZq4Q2T/g01/YoXXc6lnM4wW\na8bs2k3lzincwnIPymjpRW/ahJOZpjJ1G2HXktMCCHTtIHb41yjcOEX2yusbrirK3Pl0+efQvpVA\neOMst+vBcx2K6WGiTT0E/ZX7VGYyNyl5WRo69zA79CmOXaJ/65dpadj1ua5tVbJkpm+RmblNvLGX\nmGigOdT3yO7dDRsGIcQXhRD/SQhxYO7vf/ZIRlA715eFELeEEANCiH/xqM77y4yfnft3NAW7Safv\nojiSRKiT9O1zFMfvYcogdmYGZ3oQhRpfkIKLGoqSP/V3SNel9gB7KKKCFotTOPtDfLsMeHOqW/W3\nRmj705RvfPRQYxSKSrDvSfLnfkjs2Gt4xQyBhAquha8bmE1tZE99F80pEbJm1q1R13yboJ0mrtlo\npWmyQ/WVU7pro1sFXM3EDiZIPvcHuDO3N8SBA5AevUIs8Pkay+rON3b1kZ1rJUTUBhLBTiLNPViF\nFLMDZ1c0EEIIElsOUp4ZAUAzgyT3HsezKiue1xUGvlOlPHgZoUeJP/uH5M/+CGv4MuFdL1C48AbV\n4SvkTv8dXjGzwhmWep41GM09hLY/jTV2k+zHf71sHyFUInu+gNa2ldSH34ZKilqTmwAJDTt2Edu8\nhYqdZfTc6xQKY2t+NuG2nmXbZm598tCkjquhUphl6PKPiBmtJIJdy973PZe8Pc3YjffITd2hIdpH\n/7avEFE+e3URQD4zTKWUYnbiCgmjk7bYTmJibWNnWXmGhz9Cyo0VIcBDdD4LIb4D/A/AvwJ+Arwm\npfwfN3yl1c+rAreBLwKjwFngd6SUqwZSf9U6n1eD53n0979CLN5NRRbIubMYTc00bD2EagYpVWYo\nVTWM7gMw11zkFnMAaLEGBDUDIajiVl288jR6Yx813v3lPDtSSgpnf0D08DcfKjlbvPIOwf7DeOUs\n1XtnSBx5nsLFD4lufxZVU6jcPUWycTOauXp38Lxk41JeftWrMnvlBG39TyMUZUU6jNlzP6SlZx8J\nf3V6gXlUCrNEtYYN/1/rIVOqrSb/sZC3piinxwgm2wnEW+q0gqX0Gb74Yzqf+iYATrnA7MBpkke/\nskBrAT4uGqhBsh9/l8jel5G+h5uZQG/sRugmXjGDdC3M9m34TpXKwFlC244/wJe1Gmoyn1L6VO6d\nRzFCBLp3U+9xSPzqDDI3hhFtRjEjCOlh+ovcSNL3sCyX3J0beLZF08EvYXjluoVF9u5Fmjrq+wKm\nrn9IV8+zdduyU7cJhBsfSi8jNz2AEUwQVuIrho6k9Ll6/i9o6z9OU2Lb5y5kkL5HMTdW66J3K7RG\nN9bxXMiP4TglfN+lQe/A0EO8ffp/e+SdzwUpZVZK+b8CrwCH1ztggzgCDEgp70kpbeCvgW8+onP/\nUkNVVTrje3CcKommfhoat1CdGGH81I8BCAWaqIzcQJZn5rpJVbRIE9bodarD15EY1NJ6JkpAx0mn\nKd86C3LlEjkhBIHN+6gOXniocUb2vkx15CparIXQzuex8z6Bbc9QuPURGmViHZuYuv7BqsfPU0D7\nQq3j5ffUANHu7UxP36IYbqQQbcNV9VpFFqBIn4b9X6Iq1HVj8VYpTW7q1kP9X2uhUprFrhYe2fk2\ngpjZSlv7IYSiMH7hp7hWecGDEEKhZf+LuHNegh6KYrT34yhJpFCRSFwRpjxwidKNE8SPvoZQNcq3\nThLo3oNiBsm8/2dosaY5DQ5Q9ADhnc+S+/ivVxnR0nzVoocghEKw7zBOapT6r2Uu/BRoQsQ3MXPi\nB9i2D7Le4/PUIDKyifjBLxLf+wxWJbesnLWSWt69HWtfzjhbSo/ie/aGV9PpsavYlRxRrWHVyVkI\nhb1P/vc0J3d8LqPg2GXsap7hgfcAaA730x5fu+PZ9z2mp69SLs9QLs/QZHTTFtqCoa+/MFqKhxn1\n6/MvpJT/AvjLh7rS6ugERpb8PTq3rQ5CiH8mhDgnhDg3MzPz4Nu/svj40r+nWklRmhymNHmPZGM/\n4bZe3Eqtsqflya/hTN/HmxlgvuQ0tOM5fKc6N1nqgIaCSmjLfrRkJ16lyGpVR0ZrP3pzD+VbnzzU\nOM2OHRQuvI4aaSJ/5h8QapjIgW8weeYjbC1O6/EvM33nFJYrqRgNlAKtVIyGBU8B6VPreKhVxs+X\nL2qN3Zjbn2Pq9N/OTYICVw/izT08qqbjVArMzKwc1rF1k3yikXQoSGD781jmo5FKNINJnGqBanGW\nSn59aopHiZjRSu+ur+J7LsOnvr/QRR0gxNT5t2uqfUYDSsdRMhffx0PF9Q2c3DTCDGN27iTz/n9G\n+pL40V/HK2WxpwZpfPWfo6yQM1HjzRuYWOfLnWs/QgiiB75M7uPvPJA3mG+GTBB/9jdxC+O4jrLQ\nQwH1dBxeOY81caeunFVKSdPu5XrZ6fuXlm1LduzC9xymB9du6PScKiPX3iLZsZv2lp9vk5xVyVHM\njjJx/yRq2ae/8wskjbVV41y3SiZzl1TqJqYZJerH6Izu+sy0GesaBiHEvxdCCCnlPyzdLqX8D5/p\nip8RUsr/KKV8Ukr5ZHNz8z/mpf+bx61br1O1srRvfopYsANreoL77/wX7GIW3S0S6thN8c555vqJ\natUgvYfIvP9nSL8m2O4TAELoDV1kP/r2EgUxueR37bUWbcTNTdX1RqwHLdpIZO8XcbMTxJ/6Ldx8\nCt93CO97icLYKA46oS0HmRm8uswzcFVzjqxtEfPli44WQQhBct+LWPO6ylLiqbWJRAqFSOeOFWmi\nbd2kFE/iKyrW1D2UcJJCY+MjMQ6KotLVeYwQUXLTA+SmB3CqG0uCPyroehPx479JLpigGG6kGoyh\n9TxJwWjG1sKgG/h2FdfTyfzszwEFf65UN/mFP0WNNODbVQqX3sTs2L7q6jfY+wTeCknlxRCRsuSn\nPjmqhuJL4v717xlBEyMWI3Xir3GpGaQaeV8EVwRxRRC0IGZbT105q1spkBtcvhCItm1Zti01colE\nsItQrHXVRkDPqZKbvktn5zH06s+HdFRKietUGBv8mPT0TeJaG32dL2CuQ/dSLs9SrWYZHT1JREZp\nD22lUWv/3EnojXgMBeCHQogQgBDiS0KIjz/XVesxBixV8uia2/YYG4RhGCQTfYzdeIfp0U/p2Hyc\nzr2vUElPonoWATdH85Nfp3T1/bmyUx8hILr/FeypwbmzzHWhqjrxY7+BV0wvCb8sfxhiR75FdfjK\nmtQaD0IxwxQ+faM2GQiFwvk30KMJAn0HmTzzAW50K5GDXyH16euUxm+gzJOuKSa2FsFRg/hz3c8S\npaYup0Vw1SAku1F1neLg2ZoJEwq+UBYa4GKdOxi++37deKrhCML38cs5pGuj+D6K51GJrv0wWqZJ\ntqmJVHs72aamNQ2Joup0dR6jMdpHevwaYzfff6gk4GfFvNEzQs1kzvwAV1EpR1pwFZ3q8FXyF39K\nZfgGZscOnNkhEi/8CV4pi1BUtFgLQtUonP8R9vQgyed+H7HQgbv8XpC+S/X+5VVGUl+l9CCMZeEd\nSY1bCzxCEGgleuw1PGEuMLrOL1IkgvLkMFqkDYmyUM7q2xZmvL4nwPdc3BX6U2LNfQAkgp0MXf7x\nspBjZuIGE3dO0NKwE8PceIPdRuF7DlYly+D116mUZtnccozupifXnNillJRKU2Qy98ikBwjaGlua\nnyZorp3Yfhgm7XUNg5TyXwHfAT6YMwj/C/AoK4fOAluFEL1CCAP4beCHj/D8vxI4f/7/wQwkiMS7\n0G2F8sgA2TufMnv144VqnmBHH8Wrb1N7sBT0hm78ahFrcoCaclvtZtRiLXilLMVLP2XxwV7+gAd6\nDlC8/Pay7atBqBrRg1/BqxTQmzrRW/qQqAg1gBpeTPrGjr4GWoDC5AC2rJ1bIPFRcNQAntDxFQ2p\n6NQmiNokobdtw8tOLKq4SX+hpFVRVPRgjLJYXLV7mo7wfVQzTGLb00yc/xtKswN4+uo14JZpUmhs\nxFdVFNfFV9UNexmd7YfZtOk58jP3GLr0Y5yfYw5i3ugJzyPadwgrN4NbziCrZdRYArNjC0bbZpzs\nJEqkkewHf4bR2kdo6zHc/CzZj/8aLdGG2bFtyVnrWXjnoUWbMNqXr8brsfw436k+kK+av4fmSfY0\nJJLS1Q/xpYKjxBH4qNJivpzVSY3gq0EQCro7990qKtFofaWQUyng2cursByrdoxQVBo6d2NXasUZ\nUvpkxq8TirfT0/uFdf63h4eUPtNjFxm+8y6aEWZbz6sk9bVlUH3fxbaLDA39jGolQ7PRxebkIVR1\nbdqMcjXN7eG3yJc2vt7eSCjpJeCfAiWgCfifpJQPV7e4BqSULvDPgTeBG8D3pJQbZ3t6jAXcuP5D\nsuM3mR2/RLJjFy39R5GqQVmLUwq0YsRbCG05ijV+h/kGtsDmA3OdzfUIdO1CS3QsCSn51FZyiyEl\nRTdJPP3bFK++x0YXI3pDB4ULP8FJjaMnuyhe/lmtyqV180K4SCAxOnehRFvJfvI9fOnP6fcqSKng\nKTq+0PDmO2HnvAikJPbENyjfeI9YYXKBcnseTVuepDg9uBDTVl0HqSgIoaAaIVoOv4YSiJC/+wkT\n0xdXZDitRKMonofiz+U7NuhlLEVEa6Cxez+l3AQ3T/znDR+3FjzXopQdp6JWGLn3M1KDpylOXGPq\nwvdRjBCVqTs4s0PYqWGUQBQrNYKTniC05TB+OUvi+T9E0U38ahE3N0nsyLcIbTmyJMyzxhcsBNbY\nzdXfXwXSdQjtfHaVd+cNiYEwQqBquCKKK2oGWJVVQNaEo6BOvCc/fH1ZQ6Zmhkhurq9S8lwLawlt\nRkOkl/z0XZxqkck7J9CDMcLis3UOrwbPtRm88Qaz45dpj+9hS/cXMatrT8OOU6FUmmJw8F0812JL\n89O0BvvWvdZU+joDI+9g6hG2NzxLUmw8BL+RUNK/BP61lPIF4DXgu0KIR2pCpZQ/kVJuk1L2Syn/\n7aM8968STNOkoWELhdw4hqNRnBjB8VTSl95FOhVU6aOYUUo3PsS3a263EIL4kW9RuPjmAyEOSbBn\nH8XLb1EdvUF9ZUk9tGgTlYHTGx5n/Nh/h2+VUUOJWp5CNSjdOglWjjl6PHwU1EQHyef/mNKNE1Qn\n71CraJH4QgMUhJyfuOdYPeeqkUzVpzh9Y+XPKNbMxFgt0RgoFZGKgq8otf9M0zAaOmlt20Uw1kJZ\n5hke+hDHXgxBeHrNy1gK4ft1Xob0PaxKlpIsMDp2itn8AJMzl7h39y3KFJnN3EZKn1hTL9uf/qMN\nf26uXcH3HKamLjI+eppcZZz7t94kXRhkNnWToj2LUDWatx8nse0Yoe7dRHccxcdGj7egNXUR3fcF\nhKahhpJo0WZyJ/8Wo3kzih6gePU98p++jtm5E0Wf94AWu+BXg3Qs5Aqr8fVQuvouWuLBzvD68KWb\nmyK07djcXVHzdD0xV0qdH8O6fQLdLdWVqoaaOtFD9RN6fuIO3kx9HkQIlZa+esW65oYdzA5foLv7\nGRKBtVfwD4N8+j73rv0Y1ynT3/US7Ym96+YBPM9hfOwME+Nnick429teJCrXoZj3LO6Pn2Ame5tk\ndBPbGp5Fr8qHro56aAU3IUQ78HdSyqce6sBHiMd9DGtj567fRoRNciEFvb2fauo+im4S234UW43g\nO2Xcwixacy/zawNr/BZeKU1o21MsTgYCKT2skeuY3bsQ84RnrND2n5/Br+QxWvs3NEavWqRw9gck\nnv09yrc/xuzeBsUxfNfHbN2FlApSaCAk0nepDJxBa+jCy00T6DmEhoucI96b/6161oIecGV2jKCW\nQFtBHtEuZXGrReLBTmzdrBeFf0DZza7ksStZhFCJB2o5BV9VUeaMQ3nmHoHWLSieR2K2NvHcv/cu\nqh6gufcwvmujz+larwcpa4yxueoY1fwskeYeZgfOEG7qrqn0FdM09j+BWy1hRhrWVGezhEIBKA1+\nSvTAC6RPv47e3AeKg9ACCLMBNRRHi7XU6uSvvEP04KsrNIAtnR9W/h9qRQhyxYql1c4jpU/uk++R\nePq3Vtl/jvPqo+8QO/ItFMME6S0ZgY919wzBli2EVLfOMKSun6S1t568MDt8lXhkU50uQn5mEN+z\naYovL2N9FJBSMnH/EyTQ1v0kRlVd9z6Q0sdxygwPfUhD4zZazI3pLxTL00ymLtPdehSlbGPqK+dD\n3rz6f/x8FNyklBPASw973GP846E5sInRux8Q6tyHl5okEG1Bjzdh56YBD2GEsCbvUB29xvwDa3bs\nwOjYQeX+BZYyqQohMNq3kHnvz5GyViy6ktegRhspXnkX36luaIxqIILRtgXpOXjlPG4ui9K0A2tq\nHCt1D8XLI+aSkEJRCW07jt7YDaqBPXmL6sjFJUyrspaUXhJn1iMJxm/Wks0PajQQbaSSnWQ2c5tK\nfpBoeobk7OSKym5GMEakYRMzQ5/i+y7BQgFfVfEVhcLYNSrZcXIjl7AHFhcqm3u/gO855KZuYwRj\nq04GFa3K0O23mJw4Typ3l6Hbb1FwZ/A9l3BTN2a0gc6DXybRvZvk5r207X4ePRAhmGhdZhR836Oc\nmSBfHCWTHmDi3PdBWliVEuWZFMFdL6JEEwg9jjCTONODqLEm7JlByrc/qTWprVjauJQDaeVFZPn2\nSbxybt3vfMlocVOjxI/++tzf8yFKWFyUKEjXI7znRRQjCHKuzFXaNTEfT4JnLzMKbrWEZy/vdNcC\nkWViOVJ6hNTP14m8EqxKjqFbb1HKjdGW2MPmlmOYlrZuQnl29gZ3776JECrb219a1yhI6TOTuc34\nTE1zoz9xnKBjrGoUHgafqftCSvnwfuNj/KPhw0//T3Zue43yyHWqmVGkEFSnRkhf+RAfDYlCdMez\nKEYI35l/qDy0UKJGbufUkns1qLVGpt3P4dZJRdZPEkIoJF/8Y9z0+CqjWj6phLYeo3D+dcJ7X0ao\nGs7MKJEDL6Mn2pj58LtYM3dgIVxUk3oM9uwj2LEFnArFy28sNO4pvlsXZ9YCYZr3PkdRdeo0GqRQ\nqEaaiW1/injndjzXYujOO+t+pi19R0CCaVlEUymE66DGmmjadJxutROlUqRcmKaYG0cIweaeF0i0\nbmPq3mm8VYxlwDEwwgmMcJJY+xY6D36ZYKKNaGsfgdjyeLBnV6nmZyhWZxi78S653H2mBk8zcuWn\nlBSXjF3GCnegbj6M2rMPR4sS2nEcJRzFGrmKGmqkOnoDo7mXyMFXyX34X1DMcI2KIrqRzt+VK4wU\nI4ieXCvsUlPwq3Fw1UKYxctvw0IJ8WLhw9IEd+7U36AG4iD9heN8EcBHpXLnJEbIWEaj4lZLtG9d\nnrfIjS4PLcpgHGvT1g1Vl20EudQ9hm69hVBUNrc9Q0JvxzDWnqR932Nw8B0mJ87T0LCNHe0vEbTX\n9ixcz2Jk6izlahpV1ekM7iAm46iPQHFwHg8dSvpvAY9DSevD933iLVtJHvtttIYWHE1BhBN4hVkC\njR1IoeGUshQuvUnimX+ycJyUPvbMIGbbvHu9uIKrDNZWJsHeA3PvLV9XlG+fxLcrRPZsLA1lzwzh\nZicJ9u+lcPEtQr19mMlNeFLHSQ2hxzctiMPP18ELaaPiIqVH7vxbJPZ9iYBXWDZJSN9j+PTbRPe/\ngt6wqUbVLX0Uz0H1HCKlWqmt51hYhRTxwMpMqIXUEFYpQ1vzvoVt06OfEgg30mAsVr/4vsd45iKB\nUCOReAeaHsS2ikzPXqWl90gdRcXCGKVkZvYaoYZOjHBiVZnImbFLFMfukOjbR6h1M0IoKLqBqxhU\n9TiuFkZID1HNUkmN4LkC8LFnhghtfwpr/DZ6Yzd6QwfVocsI1SDQe/Bz17tL6VO5c5rQtuUNZXOf\nCiBBLaIoHr4XRHpgTw1jtvWzaBTmc1i171hKn/LNjwhvfxrmGhulUEGCwMVLDxGItdUtBqTvMXHm\nDTbt/+qyUZRSoySCi01itm5y/9Z7tO7/BoqklmtSVaKpFKa1MW4tqJXBzoxfxDBj6GaEuNq8oXh+\nsTjJ5OQFOjoOE3YD61YWAVSsLKncXaKhNjQtQNTbmGcwnr1K2c7Q3/wMb137dz+fUNJj/GJAURT2\ndX0dRm+SvfkBbimHdecM5avvoFQyaF4FIxwn3N2P6mbneJNAKAJ74g7W5E0WH9Y5Dv3eg3iF1BwJ\n38oIbTtOsPcgTmY1z6EeRvPmmv60rxI79FV816c8fh1FSITnkL/w4wWvAED3ZjH9VC3xLHQiWw9R\nHngf1Vv+MAtFJfn8H+AqOlZhpsafhMDVTLwlVMeKZjB758yqdd7VYorWpj1123QzWmcUbLtAPj9C\nWCRoCvYwNXKescGPMcwIXZ3HSI1cYnLg42XXEELQ0rwH37MZPvMD/FUowhvb92AmWgi19aAagQWj\nME8NIqRH6e5ZUp++iUh0YU3cJtD3BNGDX6E6eJHQlqMYLb34VgWkJNh36JEwcVbvX0ToK620F/sR\nwENR5l5LhdyJ72G0bp4LFc7fY7DUIylde5/Q9qeoJbbkgjgT+HgzA1ij13lQvMezqyS3LZ/zpm58\nREStF2sqRRME+p7ADkewQiGkEA9VXWZbRUYGfoZt5YnEO2kO95PQWtc1ClOTFxke+hDTjLG97UVi\nMrauUcgWRsgVx8jkh2gPbCEpmtY1CrZb4e70x6SKgzRF+tgaehKltLEwLzw2DL/U+Pji/wXlPH4p\nR0Qx0ZE0H6j1EYi55rFwx24y536KXy0wn/CL7P8iQjXwrSrz/Po1CCL7XqYy+Omc7OfKVUpKKE7h\n/I+WlLquDS3RSu7U3wEqetNeKveH8NExWjcT7NqKmx9F8/IEvElMWUKTNqafJuhNEYkoJLftZezs\nj3GrpQW6h3lKDV8LoCXbyV98C0/RFkLl/pIHWAhB6+7nsIzl7K7ZyVvEmvvrHvjx+yeJxOspCkZH\nPiEuGnC9KrncMC3RbWxqPkJq8hqjdz+gtWkPibYd5GfukZ+5u+w6MaOVvt1fp5KdXFGIR1FUOrY9\nRzU1zvipH+O79gJViF8pkr/6LoHunYT3vYQzc5/ok18j+9G3sSfvEj30VXynSubd/w/pVNdY3T88\ntEQ7gZ4DK7wj50JHEoSP76v4XhC/WkVLdiIEC8y/i1VPtcnfK+fwCimE0Oa21TxGIV00WcYrpohv\nPbZMvCd98yzR4ApaGr5EMxaLEGzdpCJ87PQ4wveRQmCFQvhCrNnDAlDKTzAzfplyYZLOxoNEZJy4\n2rLmMY5TYXjoQ3K5IWLxzfQ1HSNoa2saEd/3mEpfp1iewrLzxGmgK7QDXV1ObrkU+coktydruiub\nzF000YZZffgFwGPD8EuOoVtvIRyH3NAlAi29VMZv42SnyN8+i+pVQChE9n2ZyvA1wAdZE1lRg3Gy\nH39nierb4soutPUoWrQR386DUgBslhoIIRTix35zgV5hPWixFmKHv4mTmUAIhdjhX8MaH0CiEOjc\nirAmyZz8K1R/0dC4wsBSGqiorVS1FiLHf5tUsUpei2OrZs1L0GNIxUCoJuHdz+O5Fp6iIxUFV1EX\nktGOZmBGGhi/8GbduKSU5KbuEBbRJdt8pO8SdBZXyb7v0dK6D10L0B7aSoPaykxpmDulm7DnRYxd\nz1PwKxTH7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pEvUb32AZG+HejxTBh5KUjt/hQgKLz7TeJbHsNqX7Psv7/0HFAKvzCG0I3Q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\nr1st7o5ORjCinkLoNnCu/QhvYYLCgUdpXDqBHTQo7H2A0sWTpPp3o2RIa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      "text/plain": [
       "<matplotlib.figure.Figure at 0x116b4acc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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eG0238dwaQeCiD43QWJtFN5MAtCrzZEb2Up0/TRh6FKaOULr8Ek5+vFe+Ps/g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\n6RgWdjiG0AxU38WqV1ZU35RSMnbnQ7r3/+yNfWOX3qb72M8nLdXCctq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9FCG56xHs7GVm\nTvyc6vQo8UMvoVwHI7UGVS2Revo/Q2j1/t4aVuc6whsfoXDq5xTPv89cbktGfC6IVmK+3auP6PZn\nQWg4mQmUslnsQcR2fwk9nCBz+Ht+G1DlEvRmiKRaCA3u5Prx15lRglKwhUog4XuXShLqWo9wbYQn\nqYaizN46jfTmq9L0RdpBXV17KOh+vkkTOm3JjZTMKm44gKE0ujZ/hWjLenp3/A6msHDDAYZLF7hZ\nOEVHy1YG1zyOphk4bplLE++Qzdxg7brnaW3bwtDkJ0wMHSPeupbWNTsp6SVGRz8hlOgk1bN1WVkN\n6blMXj1K68AeeroebjrmF40HhuELhNbBPRTHruLmpqhODtH2xG/jTA9Rrz6qpV+J7fsqbm6G23FY\n9GgLlRun8SqFZcfcCUasFTc3iVIKLRBFmCGqo9eQ6ICLEBZmay9Wez+5c+9QzqWRlUwtd5Cs9Vr2\nVVv9Zg8enpaYS0AbsoCqsZ7RNBJ7XsBV7oLE8i8CoZYuhL7yOvbZ2ctoxuoNQ6Clk1Dr8q0fl0P6\n+EeLCIurg2hZhwz2EVx7gOLNqxQvnMdqG6Ry4yRIb1GV1LxkevzAbxIc2EXxwgc170Eh0HzDICTz\nSrf++NC63Si7QPqtv0S5Dr7xmOfT6JE44U2P4sxcA7sI+Hklx2yl7alvIys5ivkJbDOGbYRxjBCB\n/p3MXHoXpIfUTdrW7iMvZ/A838D2rH+c4enjFDQ/xBQKtzI29hnTru/RJWP9ZPJDzJz/GdLQCcW7\n0Wqr9Wz+BqXRc6Tig/R3H/TVA6TD9dmjVIOSvv4niCf6GZ7+jLHsOboGDtCz4UnS5VvcuPo6Qmj0\n7HgB4w68lunrx4h3biBQ+Zebnh8Yhi8QMiPnSWx8GC3aiplow9BDFM9/iFecQcNGYAN+2Z2qlilf\n/ZTlvAYhBIkn/qBmWO4eiYPfpHLtOACBvoeoDn+OKzUUBvWJwmzpJrnvRXRDMX3qPfIVF2m7zBHv\nhB8Q02qrznoC2lA2lpeu5SQMjFCE3JG/a5pDcHSLUrCFQriTUrBlQYL6bsbG1mxiJnOlydZgmwHy\n8VayqS7y8VYKmSnMyHIS5Msjf+PCqgxQHYG2rlVv4ymLimqnqAaxVSfl4cs4s2OEtz+LV8iCZpA4\n9G0CPYvF2ebDRPXJPDiwjfzJ11CeDUIiZRj/Xtevxav9L7A6+ml57o+pjl+jMnSW+VCU/9tq78NI\ntDP7wd9QqEqqWgKBRNM1zI51lG5donT5SI3TIJDBGFbnBgpTl9A8h2C0FSMQ4erFV3AdP0jf3ruH\n2fEL2GENITQG1z5HKNTCZPUGAF1tOxhI7mJ28jQFZ5qynabopnGcAl1aJ6FgytdjckeZcUdpbdtC\nIJBgtjpMTs0Sa+mnbc1O0pVhrl99g2hrH/17voYZXMqkbkSlMMPI2Tfp6T5ATNxea+kXjRUbBiHE\nC0KI/yCE2F37/9/cr5MQQrwkhLgohLgihPiz+7XfXzdI6WGPnPO7OeUzKCC5/2vISqnWhcui7tKH\n1u/HTHUinXoyb6mBEELgTN/CnrrZ9P2Vws1PYU9eQwid+IGXKV08ij0zhsDzO3zhf2H1eDeJx/8Y\ngnHSR39A+cZJ6qtLNVft4uGKwFyJqqtFEarqh5XMCGbHemxtYRVPYwxaKBep6VSCqaYT/krHGqEo\nuVufL9m+rqckhY7wXKTQCe94AddYXmGzGZRSKHdxD4U7wylkCbSuTrLEUxYVmcKTAZ/rMj2MFm1H\nCydxp24R2/c19HCiVnl0Jy6LQo8kSTzydSrDF5h58wfIkgEqyHyFXL03uP9MCd0g0LMJZ3YEr5JH\nUK2N8z1cM6jT+szv47mK4uQIrgjgoaO0ING9LxNav5/8qdfxpP8cW73bCHRtYPLI3yI9FysUp2/n\nSxRUFruSR9MNutc+yui1D0g7Y34DpEAcz6syWryIUopIRdIVWUd6+iKTmc+R7Wvojm0iVKpihwXX\nZo6glKSlZQNu2CDtjIFShGOdyFiQycznaLpJz44vrch7c+0S5ewE/QNP3nHsLwOr8Rj+FfDfAH8o\nhHgW2H2H8SuCEEIH/i/gy8BW4PeFEPfO//81ROvAbgwlMUvT2NO3/FW0qeNlRyld+tQPucxJL3sI\nK0Lu6A9ZzjAAPqNVenjlfNP3V4Lozi8h9Lr0hkF480EqwyfQ8StnPELIWk07aGiBVlJP/xHB/h3k\nT7+BUgIldCQmUoESZk0awcUTJlWjvVbeqghseYbx4avkQ+1zk7ljRudi0H75q2xavbSasUIIuvd+\niaLKLXi9GooivPnthWuTv/B+02PdDm6lQMuOR+88cBFyk1dqyd5VHEuGmH3nu1QnbpD75EcYsVbs\n0YuAIjiwEz10e2G2hXIqRk2FF0IDe0g89m28QprSpU+AOs/BY94zMFFSRwhBbPdXcNMTZA7/Uy3M\n6aFT62BnxtFT3dgT1yiNfl7LP5k+XcIwCPY9ROHSYaQSKARhWaZzyyPkquNI18EIhAnGWrl5/W3K\npv/crVn3BHa1QE6lUUrR3rGdjs7tXJl6n3F9mnJ7K93rn6Wv9wlCVUkuGeDc5DtkMzcZGHyKRHKQ\nW9PHyUxdJprsId46SFHLkx4+R6JzI5GW3hUxpWdvnWXq2jE6klvQtP80xChWYxjySqmMUuq/Br4E\n3K+syAHgilLqmvKzUN8DfvM+7fvXCtPXjpHo30ooEKJ900OE3Qki3hStPb3UOV9+KrqEThEzFifY\nv6XWplOx1EAohGFiJLvIfPA3KO/ukrpC03GmhyjfOAUIhBYm0LWDasnBI8RSToUATIRhYnWuayDd\nSdACSKHhigASfa4ySWomUgsiNIEzO4ytmFvp+7IYC7kZy1UvrWasZpjMXDq6cHt9fnuvWqI4e43Y\n+v0rqpSSnks2e4Ns9gaTlw+vWApDKcXEufeZOPs+4d51BNpXFkoqpG8xfvhVqqUS4c1PEOjeROSh\nJyle/Ij4I79DsHelyrD1ElWx6H8NzQpjtvYh7RJufoaF97keUqonsiWB7g2ENj6CMzOCdPyQoO/p\nKoTQiO39MlbXZtJHfugnpWvHs1rXEN96iMxHfwv5IUzPJhBvRU+t4fKFN5gNxSi1rKH7kW9Szk2S\ntccRQtDSuYVqJcuVoTfmcm6Da5+jEo9RGD+PZleRdonJsz9GVgq0PvItEslBro99yGj6FF0DD9M1\n8AiZ6ihDNz9A00y6tzy5opySUors+GUiLb309zVvG3o/4a3i+7saw/BK/Q+l1J8Bf7WKbW+HHuBW\nw//DtdcWQAjxb4QQx4QQx6ampu7Tob9YiLT2UZq6RSUzzsyZw3OvG8qmtbuH4tG/qeUa6qJ6NqH+\n7WQ/+l6tMqTxwZlfBWqBMIlHfxevePcM3tCmR2tJy9qkIQxKlz9jflLwV4iLJTgCXRsJb3qE3Kf/\n5G9X13USZk1d1fcUJAZ+slOROvh1pF2aW+mvRBajjtWMFZpOuG1hTwLN87dXUjJ95lUQAqut77aV\nUrncEIXyOOMX3wcg0j1I58EXb9u6UzpVcjPXGTn6U0qlCZLb99P68JOYidSyKptKSapahfEjrzF7\n5Th6NEbrMy+ixzsI9m5BVkrYUzeI7nxhlRLfzcYulFCJbn8Oe/QSbm6G+VCSCbX7Bg4IB6HZWB1r\n0EJB0u/+f9jlChINVfdGkGimTmTb01RGL/jhNuX5zGgg8djv4k1fpaIV/Y54iR5aH/sWdmkSu5yn\nnGjD6txAduIKRZFHKUmybT0DW77EVPEqk4UrCCGw1mwmEEwweuGnlKsztGx8kkAwwczEKbJymvae\n3XT07WMqe4lrl18j0tJL366XFshh3wkTlz5CCI0oKyMi3i3sSp5KcYbs9NUVb3NHwyCE+D+EEEIp\n9aPG15VS/+4uzvGuoZT690qp/Uqp/e3t7b/MQ//KQClJ2EihWyHM6MJkp6YbGCELrTKCwAMMdGwC\njBN/qBd35jxoFebjwAv2jBFrpTJ0lsrwuQWvrxRC+BIJlVu+pITVsY5g33ZktcT8BLL4cfRfF7qF\nkerGSY/4YRKh136rWtjEZN64gDAscidem1vpr0QWo47VjAUW1NPbpSyyMMLEpz8gO36O1oO/Q7Bn\ny223B8hcPkkg1UHH/meJ3Ia34JYLVFSB0WM/Y+b6SUI9A3Q+/TKBti70YHPeglKKisyTvnGaicOv\ngefS+tQLxHfuxUwkEbqO8iSZD79PdeQi0W3PrEi+eXXw74vZPlC7/41GQ6v9WA2Pk8KMttDy/O/h\npieRpSy+IfFqRQgSM9lOsGcz6Xf+I6qUBaUhFJjCIdm/nplTH5KeGUYoiRkIEUh2MnPqFarZEexI\nnO4tT6KU4srnP8GxiwhNJ9W5GdetUDIq6FUbM9VN956vE24doFKZoVQaJxhuIZpYQ1kvMTZ5knCy\nm/49L6/qM/OcKhOXPqJz02O0RtfeeYO7hFKK3OxNxm9+TMgN0hnduOJtV3I1eeDHQogwgBDiRSHE\nvQvqzGMEaFx29dZee4BVojTr9yGQrkPLtoNkr55doCUUe+grlIevYolZAmICnQIOCfTWJ3GyVWQZ\n/G+nzXzp4LyRiGx7GpSqSWbUv8UrNw6BNZuxxy7P/V8dvYRXzDSMmE9ILg5rhTceRNplytc+Y0Ho\nQtWNg6r5C/6kE+rZgET4jXlWKIsBK5fQqCNz8yzZ8ijjI8eYmjhL0LLo3f8i8YEdoFt33B6gfc9T\ndwwb5aavMX3pE1CKjideIrXrkdt4BopCdoSKm2X88CvYk+PEtu6k7YWvQrAFV3ZQLfVQLQ5SHItR\nvXWV2N6vElpfV2O+31L8vhEw4m2EBncter3xWBZKBkAFUEpHaAHQBZWRs3P78J+KmuRbmU5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j0YIXHw67jZMVAhpJK1eviGJjpIX6dfaCjpsJIJoxFCQOXWBZzZenISQBLd/hSVWj+Gei8GhYVL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\nBCFgIwl2DAEB98h6dhHQaBGuWTaxTJZQpdFWIxCEgIeJQBgCA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      "text/plain": [
       "<matplotlib.figure.Figure at 0x120fb2828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "L = [] # L will be a list of losses for plotting.\n",
    "\n",
    "f = plt.figure() # create a figure and an axis to plot loss curve.\n",
    "ax = f.add_subplot(1,1,1)\n",
    "\n",
    "xi = np.linspace(-5, 5, num_samples) # generate xi yi for mesh grid.\n",
    "yi = np.linspace(-5, 5, num_samples)\n",
    "\n",
    "for epoch in range(num_epochs+1):\n",
    "                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 \n",
    "    logp = model.logp(x_data)\n",
    "    loss = -logp.mean() # get NLL loss for training.\n",
    "    \n",
    "    if epoch%50 == 0:\n",
    "      print(\"epoch:\",epoch,\"loss:\",loss.item())\n",
    "      \n",
    "    if epoch%200 == 0:\n",
    "      \n",
    "      ft = plt.figure() # create a figure and an axis to plot generated sample points.\n",
    "      axt = ft.add_subplot(1,1,1)\n",
    "      axt.set_title(\"epoch:%g\"%(epoch))\n",
    "      \n",
    "      z = torch.randn(num_samples, num_vars)\n",
    "      x = model.forward(z)\n",
    "      logp = model.logp(x) # get log(probability) of each sampled point.\n",
    "      \n",
    "      zi = griddata(x[:,0].detach().numpy(), x[:,1].detach().numpy(), logp.detach().numpy(), xi, yi, interp='linear')\n",
    "      plt.contour(xi, yi, zi, 15, linewidths=0.5, colors='k')\n",
    "      plt.contourf(xi, yi, zi, 15,vmax=abs(zi).max(), vmin=-abs(zi).max())\n",
    "      axt.scatter(x[:,0].detach().numpy(), x[:,1].detach().numpy(), alpha=0.5, label='generated') # generated mesh data and plot contour.\n",
    "      \n",
    "      plt.xlim([-5, 5]) # limit x and y axes between [-5,5] for better viewing.\n",
    "      plt.ylim([-5, 5])\n",
    "\n",
    "      plt.xlabel('$x_1$') # label axes.\n",
    "      plt.ylabel('$x_2$')\n",
    "      \n",
    "    L.append(loss.detach().numpy()) # at each epoch add new loss to L\n",
    "    \n",
    "    optimizer.zero_grad() # do the training of model's parameters.\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    \n",
    "ax.plot(range(len(L)),np.array(L),label = 'loss') # plot the loss curve.\n",
    "ax.legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "ODFHZ4kNvQBE"
   },
   "source": [
    "Visualize training result."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     },
     "base_uri": "https://localhost:8080/",
     "height": 363,
     "output_extras": [
      {
       "item_id": 1
      }
     ]
    },
    "colab_type": "code",
    "executionInfo": {
     "elapsed": 36174,
     "status": "ok",
     "timestamp": 1519173105640,
     "user": {
      "displayName": "li li",
      "photoUrl": "//lh5.googleusercontent.com/-EpOiByGU5dA/AAAAAAAAAAI/AAAAAAAAACc/ZQHNZAF7xMQ/s50-c-k-no/photo.jpg",
      "userId": "118127190614979245201"
     },
     "user_tz": -60
    },
    "id": "W6ixLj5gNuxJ",
    "outputId": "af969cc2-3d8a-4ca8-b8fb-bc36c71c3f4d"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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nZmocmqi0dp7NMtTtNB3LmdAjRJBrmIQMGREiMFRETYvnacoQTUq6/Cr3j78G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\nApRMIut1aNTZ/eQXg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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cf22748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "z = torch.randn(num_samples, num_vars) # create a random dataset to perform testing.\n",
    "x = model.forward(z)\n",
    "\n",
    "plt.figure() # plot training data along with generated data.\n",
    "plt.scatter(x_data[:,0], x_data[:,1], alpha=0.5, label='original')\n",
    "plt.scatter(x[:,0].detach().numpy(), x[:,1].detach().numpy(), alpha=0.5, label='generated',c='#CC3333')\n",
    "plt.legend()\n",
    "\n",
    "plt.xlim([-5, 5]) # limit x and y axes between [-5,5] for better viewing.\n",
    "plt.ylim([-5, 5])\n",
    "\n",
    "plt.xlabel('$x_1$') # label axes.\n",
    "plt.ylabel('$x_2$')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "8uBntOKktmB6"
   },
   "source": [
    "# Task\n",
    "Now we have NICE network, we can also implement RealNVP network with only little changes.\n",
    "\n",
    "At each layer, RealNVP perform this transformation:\n",
    "\n",
    "\\begin{equation}\n",
    "\\left\\{\n",
    "\\begin{array}\\\\\n",
    "y_0' = y_0 \\exp(s(y_1))+t(y_1) \\\\\n",
    "y_1' = y_1\n",
    "\\end{array}\n",
    "\\right.\n",
    "\\end{equation}\n",
    "\n",
    "### hints:\n",
    "\n",
    "RealNVP has a $\\ln(determinant)$ of this form\n",
    "\\begin{equation}\n",
    "\\ln\n",
    "\\left|\n",
    "\\begin{array}\\\\\n",
    "\\exp(s(y_1))&0\\\\\n",
    "\\frac{\\partial}{\\partial{y_1}}(y_0 \\exp(s(y_1))+t(y_1))&1\n",
    "\\end{array}\n",
    "\\right|\n",
    "= s(y_1)\n",
    "\\end{equation}\n",
    "\n",
    "To test your implement, you can just copy the training code of NICE network."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {
     "autoexec": {
      "startup": false,
      "wait_interval": 0
     }
    },
    "colab_type": "code",
    "collapsed": true,
    "id": "ZtPf9qV3mF1g"
   },
   "outputs": [],
   "source": [
    "# complete your task here"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "default_view": {},
   "name": "nice.ipynb",
   "provenance": [
    {
     "file_id": "1Lpp0qZjeF-NK_S6ROzsNvQzd2fFQ0Akt",
     "timestamp": 1517758638516
    }
   ],
   "version": "0.3.2",
   "views": {}
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
